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Furutani Kenro  古谷 賢朗

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… Alternative Names

FURUTANI Kenro  古谷 賢朗

古谷 賢朗  フルタニ ケンロウ

石谷 賢朗  フルタニ ケンロウ

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Researcher Number 70112901
Other IDs
Affiliation (Current) 2022: 大阪公立大学, 数学研究所, 特別研究員
Affiliation (based on the past Project Information) *help 2020 – 2021: 大阪市立大学, 数学研究所, 特別研究員
2016 – 2019: 東京理科大学, 理工学部数学科, 教授
1998 – 2015: 東京理科大学, 理工学部, 教授
2002: 東京理科大学, 理工学部・数学科, 教授
1999: 東京理科大学, 理工学部・数学科, 教授 … More
1996: 東京理科大学, 理工学部・数学科, 教授
1995 – 1996: 東京理科大学, 理工学部, 教授
1994: 東京理科大学, 助教授
1989 – 1994: 東京理科大学, 理工学部, 助教授
1988: 東京理科大学, 理工学部, 講師 Less
Review Section/Research Field
Principal Investigator
Global analysis / 解析学 / Basic analysis / Global analysis / Basic Section 12010:Basic analysis-related
Except Principal Investigator
Geometry / 解析学 / Geometry / 代数学・幾何学 / Global analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
Maslov index / Spectral flow / sub-Laplacian / 熱核 / Grushin type operator / elliptic operator / spectral zeta function / ベキ零リー群 / Grushin type 作用素 / Clifford algebra … More / 大域解析学 / 楕円型作用素 / Cayley射影平面 / Polarization / スペクトル流 / zeta-regularized determinant / 幾何学的量子化 / sub-Riemann 構造 / Clifford 代数 / spectral zeta 関数 / Grushin作用素 / 関数解析学 / non-holonomic structure / 劣楕円型作用素 / heat kernel / 国際共同研究 / bi-characteristic flow / exotic sphere / pseudo H-type algebra / modified Bessel function / 量子化 / 測地流 / Fredholm pair / Cayley projective plane / Fredholm operator / Quantization / Clifford module / sub-Riemann構造 / Fourier積分作用素 / Cauchy data / Fredholm 作用素 / Dirac operator / index theorem / η(eta)-invariant / sub-Riemann多様体 / non-holonomic sub-bundle / Toeplitz作用素 / non-holonomic subbundle / sub-Riemannian多様体 / heat Kernel / Grushin type Operator / Hamilton system / 陪特性曲線 / nilmanifold / Berezin変換 / 再生核 / sub-Laplaciar / Hankel 作用素 / Toepl〓作用素 / Spectral zeta 関数 / ベキ零多様体 / 一般ハイゼンベルグタイプ群 / sub Laplacian / sub Riemann structure / zeta determinant / Heisenberg 群 / Spectral zeta関数 / ベキ零Lie群 / 作用関数 / Zeta正則化行列式 / 漸近展開 / non holonomic structure / isospectral manifold / ベキ零リー環 / Grushin 作用素 / lattice / 基本解 / 正準変換 / シンプレクテック多様体 / Frendholm index / Fourier / 積分作用素 / Kahler型式 / 四元数射影空間 / マスロフ指数 / Symplectic Hilbert space / Lagrangian subspace / Kahler structure / Pairing / maslov index / Spectral invariant / Cauchy data space / Kahler form / geodesic flow / quantization / Spectral folw / Symplectic manifold / Quaternion projective space / Heisenberg manifold / Epstein zeta funtion / 無限積 / Quillen determinant / Maslov line bundle / Caplacian / Mellin transformation / Heat Kernel / マスロク指数 / 楕円型微分作用素 / 境界値問題 / スペクトル逆問題 / product form / symplectic manifold / Quaternion Projective spare / zeta-regularided determinant / Atryah-Patodi-Songer境界条件 / ゼーター正則化行列式 / 球空間形 / ヒルベルトツュシット作用素 / テプリッ作用素 / ベレージン変換 / spherical space form / lenz space / zeta正則化行列式 / 江上補間方法 / sub-Riemanian structure / Geometric Quantization / Reproducing Kernel / Pseudo-differential Operator / Segal-Bargmann Space / Hilbert-Schmidt Operator / Fock Space / hyper geometric sertes / 楕円関数 / Hormander Index / 非局所的楕円型境界条件 / Geometric quantization / Pseudo-differential operator / spectral flow / elliptic openrator / Afrya-Patodi-singer bourdary conditior / Seta-wgataviged Deteiminant / Apkevical Apace form / Hilbert-Schmidt operator / Toplity openata / Beverin trans form / pseudo H-type Lie環(群) / spectral zeta関数 / Maslov 量子化条件 / Calabi-Yau構造 / Lagrangian distribution / pseudo H-type Lie代数 / admissible module / spectral inverse problem / Riemann zeta function / Calabi-Yau structure / pseudo H type Lie 環 / isospectral problem / sub-Riemann structure / Quantization condition / Fourier 積分作用素 / Weyl asymptotics / Popp’s measure / Radon変換 / Incident relation / Fredholm作用素 / Clifford代数 / pseudo H-type群 / 一様離散部分群 / Calabi-Yau 構造 / Symplectic 多様体 / polarization / Bargmann 変換 / Lagrange sub-manifold / 不変多項式 / Spectral invariants / ベキ零LIe群 / 劣楕円型作用素と熱核 … More
Except Principal Investigator
巾零幾何 / 巾零解析 / サブリーマン幾何 / 量子化 / 変形量子化 / リー環の表現と微分方程式 / 旗多様体 / 外在的幾何 / nilpotent analysis / nilpotent geometry / 力学系 / カオス / 積分可能系 / 測地流 / スペクトラルフロ- / ワイル多様体 / スタ-積 / 非可換微分幾化 / cubic surface / stable vector bundle / moduli / del Pezzo surface / cremona zransformation / automorphism group / symmetric group / progective space / Deformation Quantization / *‐products / 代数群 / 表現論 / Spectrum / Laplacian / Ktrillov Theory / Coadjoint orbit / monodromy / Painleve / 大久保型方程式系. / 正則解 / 特性指数 / homoclinic point / star product / deformation quantization / ポアソン構造 / 可積分系 / シンプレクティック幾何 / 力学 / DEFORMATION QUANTIZATION / STAR PRODUCT / コボルディズム / 群作用 / ウオール多様体 / スライスタイプ / SK群 / オイラー標数 / SKインヴァリアント / 不動点集合 / 位相的場の理論 / ドシッタ空間 / シングルトン / ソリトンセクター / 赤外セクター / 有限エネルギーセクター / 束縛状態 / 橋指数 / フィルター付き多様体 / 旗多様体での外在的幾何 / 線形偏微分方程式系の不変量 / カルタン幾何 / 国際研究者交流 / オーストリア:ベラルーシュ:イタリア:フランス:ポーランド / 内在的幾何 / 微分方程式系 / 不変量 / Klein-Cartan programme / Klein-Cartan Program / 微分方程式系の不変量 / 剛性定理 / 線形偏微分方程式 / Klein-Cartanプログラム / 外在幾何 / 微分方程式の幾何 / リー環の表現と幾何 / 非可換幾何学 / *一積 / 非可換微分幾何学 / *-積 / 水一積 / 幾何学的量子化 / non commutative geometry / star-product (*-product) / non commutative differential geometry / 共形場 / 部分因子環 / 既約指標 / 作用素凸関係 / XY鎖 / 二次元共形場 / ワイル順序付け表式 / *積 / モワイヤル積 / 数理物理学 / CFT / Deformation quantization / 変分問題 / 正則性 / 調和写像 / フィンスラー多様体 / エネルギー汎関数 / Variattional Problems / regularity / Harmonic maps / Finsler manifold / energy functional / カルタン接続 / リー環の表現と微分方程式系 / subriemannian geometry / Cartan connection / representation of Lie algebra and system of PDEs Less
  • Research Projects

    (25 results)
  • Research Products

    (131 results)
  • Co-Researchers

    (42 People)
  •  From elliptic operators to sub-elliptic operatorsPrincipal Investigator

    • Principal Investigator
      古谷 賢朗
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Osaka City University
  •  Study of the Analysis on ManifoldsPrincipal Investigator

    • Principal Investigator
      Furutani Kenro
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka City University
      Tokyo University of Science
  •  Study of the Analysis on ManifoldsPrincipal Investigator

    • Principal Investigator
      Furutani Kenro
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo University of Science
  •  Development of nilpotent geometry and nilpotent analysis II

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Doshisha University
      Kinki University
  •  Study of Analysis on ManifoldsPrincipal Investigator

    • Principal Investigator
      FURUTANI KENRO
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  Study of Analysis on ManifoldsPrincipal Investigator

    • Principal Investigator
      FURUTANI Kenro
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  Developments of nilpotent geometry and nilpotent analysis

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
      Nara Women's University
  •  Study of Analysis on ManifoldsPrincipal Investigator

    • Principal Investigator
      FURUTANI Kenro
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  Developments of nilpotent geometry and nilpotent analysis, and subriemannian geometry

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  Study of Analysis on ManifoldsPrincipal Investigator

    • Principal Investigator
      FURUTANI Kenro
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  2-dineusional couformal field theory and subfactors

    • Principal Investigator
      HIDEKI Omori, 荒木 不二洋
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  Research on the Regularity of Solutions for Geometric Variational Problems

    • Principal Investigator
      TACHIKAWA Atsushi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  Studies of Analysis on manifoldsPrincipal Investigator

    • Principal Investigator
      FURUTANI Kenro
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Science University of Tokyo
  •  Research of non-commutative differential geometry

    • Principal Investigator
      OMORI Hideki
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Geometry
    • Research Institution
      Science University of Tokyo
  •  可積分系の理論

    • Principal Investigator
      吉岡 朗
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science
  •  同変コボルディズム論

    • Principal Investigator
      原 民夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science
  •  位相的場の理論から見たドシッタ空間上のシングルトン理論

    • Principal Investigator
      ARAKI Fujihiro
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo University of Science
  •  Spectral flowの研究Principal Investigator

    • Principal Investigator
      古谷 賢朗
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Science
  •  可積分系の理論

    • Principal Investigator
      吉岡 朗
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science
  •  複素領域における微分方程式

    • Principal Investigator
      木村 俊房
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Science
  •  積分論及び超関数論

    • Principal Investigator
      田口 淑子
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Science
  •  代数多様体の研究

    • Principal Investigator
      細尾 敏男
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo University of Science
  •  ワイル多様化の研究

    • Principal Investigator
      大森 英樹
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo University of Science
  •  力学系の総合的研究

    • Principal Investigator
      OTSUKI Nobukazu
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Science
  •  量子化とFourier積分作用素の研究Principal Investigator

    • Principal Investigator
      古谷 賢朗
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Science

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2004 Other

All Journal Article Presentation Book

  • [Book] Heat Kernels for Elliptic and Sub-elliptic Operators, Methods and Techniques2010

    • Author(s)
      O.Calin, D-C Chang, K.Furutani, C.Iwasaki
    • Total Pages
      435
    • Publisher
      Birkhauser verlag
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Book] Heat Kernels for Elliptic and Sub-elliptic Operators, Methods and Techniques, Applied and Numerical Harmonic Analysis2010

    • Author(s)
      Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
    • Total Pages
      451
    • Publisher
      Birkhauser
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Automorphism groups of pseudo H-type algebras2021

    • Author(s)
      Furutani Kenro、Markina Irina
    • Journal Title

      Journal of Algebra

      Volume: 568 Pages: 91-138

    • DOI

      10.1016/j.jalgebra.2020.09.038

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284, KAKENHI-PROJECT-20K03662
  • [Journal Article] Residue of the spectral zeta function of a sub-Laplacian on a certain class of nilmanifolds2020

    • Author(s)
      Kenro Furutani
    • Journal Title

      Applied Analysis and Optimization

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Spectral theory of a class of nilmanifolds attached to Clifford modules2020

    • Author(s)
      Wolfram Bauer, Kenro Furutani, Chisato Iwasaki and Abdellah Laaroussi
    • Journal Title

      Mathematische Zeitshirift

      Volume: -

    • DOI

      10.1007/s00209-020-02525-5

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Complete classification of pseudo H-type algebras:II2018

    • Author(s)
      Kenro Furutani, Irina Markina
    • Journal Title

      Geometriae Dedicata

      Volume: - Pages: 1-31

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Riemann submersion and Maslov quantization condition2018

    • Author(s)
      Kenro Furutani, Mitsuji Tamura
    • Journal Title

      Applied Analysis and Optimization

      Volume: 2 Pages: 373-401

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Lie algebras attached to Clifford modules and simple graded Lie algebras2018

    • Author(s)
      Kenro Furutani, Irina Markina, Mauricio Godoy Molina, Tohru Morimoto, Alexander Vasiliev
    • Journal Title

      Journal of Lie Theory

      Volume: 28 Pages: 843-864

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Sub-Riemannian structures in a principal bundle and their Popp measures2017

    • Author(s)
      Wolfram Bauer, Kenro Furutani & Chisato Iwasaki
    • Journal Title

      Applicable Analysis

      Volume: 96 Pages: 2390-2407

    • DOI

      10.1080/00036811.2017.1333602

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Double submersions and Hamilton flows2017

    • Author(s)
      Kenro Furutani & Mitsuji Tamura
    • Journal Title

      Applied Analysis and Optimization

      Volume: 1 Pages: 381-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] First integrals of bi-characteristic curves of a sub-Laplacian and related Grushin type operators2017

    • Author(s)
      Wolfram Bauer, Kenro Furutani and Mitsuji Tamura
    • Journal Title

      Journal of Non-Linear and Convex Analysis

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] A codimension 3 sub-Riemannian structure on Gromoll-Meyer exotic sphere2017

    • Author(s)
      Wolfram Bauer, Kenro Furutani & Chisato Iwasaki
    • Journal Title

      Differential Geometry and its Applications

      Volume: 53 Pages: 114-136

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] First Integrals of bi-characteristic curves of a sub-Laplacian and related Grushin type operators2017

    • Author(s)
      Wolfram Bauer, Kenro Furutani & Mitsuji Tamura
    • Journal Title

      Journal of Non-linear and Convex Analysis

      Volume: 18 Pages: 893-917

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Journal Article] Pseudo-metric 2-step nilpotent Lie algebras2017

    • Author(s)
      Christien Autenried, Kenro Furutani, Irina Markina and Alexander Vasiliev
    • Journal Title

      Advances in Geometry

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] Complete classification of pseudo H-type algebras:I2017

    • Author(s)
      Kenro Furutani and Irina Markina
    • Journal Title

      Geometriae Dedicata

      Volume: -

    • DOI

      10.1007/s10711-017-0225-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] Submersion and bi-characteristic curves of Grushin type operators2016

    • Author(s)
      Kenro Furutani and Mitsuji Tamura
    • Journal Title

      Journal of Non-Linear and Convex Analysis

      Volume: 17 Pages: 1697-1716

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] Fundamental solution of a higher step Grushin type operator2015

    • Author(s)
      Wolfram Bauer-Kenro Furutani-Chisato Iwasaki
    • Journal Title

      Advances in Mathematics

      Volume: 271 Pages: 188-234

    • DOI

      10.1016/j.aim.2014.11.017

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540189, KAKENHI-PROJECT-26400124
  • [Journal Article] Free nilpotent and H-type Lie algebras. Combinatorial and orthogonal designs2015

    • Author(s)
      K. Furutani, I. Markina and A. Vasiliev
    • Journal Title

      Journal of pure and applied algebra

      Volume: 219 Pages: 5467-5492

    • DOI

      10.1016/j.jpaa.2015.05.027

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] W. Bauer and The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian2015

    • Author(s)
      Wolfram Bauer-Kenro Furutani-Chisato Iwasaki
    • Journal Title

      Advances in Mathematics

      Volume: 277 Pages: 283-337

    • DOI

      10.1016/j.aim.2014.12.041

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540189, KAKENHI-PROJECT-26400124
  • [Journal Article] Spectral zeta function on pseudo H-type nilmanifolds2015

    • Author(s)
      W. Bauer, K. Furutani and C. Iwasaki
    • Journal Title

      Indean Journal of Pure and Applied Mathematics

      Volume: 46 Pages: 539-582

    • DOI

      10.1007/s13226-015-0151-6

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] Existence of Lattices on General H-Type Groups2014

    • Author(s)
      Kenro Furutani & Irina Markina
    • Journal Title

      Journal of Lie Theory

      Volume: 24 Pages: 979-1011

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Journal Article] Exis- tence of Lattices on General H-type groups2014

    • Author(s)
      Kenro Furutani and Irina Markina
    • Journal Title

      Jour- nal of Lie Theory

      Volume: 24, No. 4 Pages: 979-1011

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Journal Article] Existence of Lattices on General H-type Groups2014

    • Author(s)
      Kenro Furutani, Irina Markina
    • Journal Title

      Journal of Lie Theory

      Volume: 24 Pages: 979-1011

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Journal Article] Trivialization of sub-Riemannian structures on spheres.2013

    • Author(s)
      Wolfram Bauer and Kenro Furutani and Chisato Iwasaki
    • Journal Title

      Bulletin des Sciences Mathematiques

      Volume: 137, No. 3 Pages: 361-385

    • DOI

      10.1016/j.bulsci.2012.09.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540251, KAKENHI-PROJECT-24540189
  • [Journal Article] Trivializable sub-Riemann Structures on Spheres2013

    • Author(s)
      Wolfram Bauer, Kenro Furutani and Chisato Iwasaki
    • Journal Title

      Bulletin des sciences matematiques

      Volume: 137 Pages: 361-385

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Journal Article] Spectral zeta function of the sub-Laplacian on two step nilmanifolds2012

    • Author(s)
      W. Bauer-K. Furutani-C. Iwasaki
    • Journal Title

      Journal de Mathematiques pures et appliquees

      Volume: Vol.97 Pages: 242-261

    • DOI

      10.1016/j.matpur.2011.06.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540194, KAKENHI-PROJECT-22654019, KAKENHI-PROJECT-23540251, KAKENHI-PROJECT-24540189
  • [Journal Article] An action function for a higher step Grushin operator2012

    • Author(s)
      Kenro Furutani, Chisato Iwasaki and Toshi- nao Kagawa
    • Journal Title

      Journal of Geometry and Physics

      Volume: 62, No. 9 Pages: 1948-1976

    • DOI

      10.1016/j.geomphys.2012.04.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540251, KAKENHI-PROJECT-24540189
  • [Journal Article] Spectral Analysis and Geometry of Sub-Laplacian and Related Grushin type Operators2011

    • Author(s)
      W.Bauer, K.Furutani, C.Iwasaki
    • Journal Title

      Advances in Partial Differential Eguation

      Volume: 211 Pages: 183-290

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant2010

    • Author(s)
      W.Bauer, K.Furutani
    • Journal Title

      Journal of Geometry and Physics

      Volume: 60 Pages: 1209-1234

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant2010

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Journal of Geometry and Physics Vol.60

      Pages: 1209-1234

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Spectral Analysis and Geometry of a sub-Laplacian and related Grushin type operators2010

    • Author(s)
      Wolfram Bauer, Kenro Furutani, Chisato Iwasaki
    • Journal Title

      Advances in Partial Differential Equations, Birkhauser Vol.211

      Pages: 183-290

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant2010

    • Author(s)
      W. Bauer, K. Furutani
    • Journal Title

      Journal of Geometry and Physics Vol.60,No.9

      Pages: 1209-1234

    • Data Source
      KAKENHI-PROJECT-19540082
  • [Journal Article] Hilbert-Schmidt Hankel Operstors and Berezin Iterations2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Tokyo Journal of Mathematics Vol.31,No.2

      Pages: 293-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Zeta regularized Determinant of the Laplacian for classes of spherical space forms2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Journal of Geometry and Physics Vol.58,No.2

      Pages: 64-88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Compact operators and the pluriharmonic Berezin transform2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      International Journal of Mathematics Vol.19,No.6

      Pages: 645-669

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Quantization operators on Quadrics2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Kyushu Journal of Mathematics Vol.62,No.1

      Pages: 221-258

    • NAID

      110006648026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Zeta-regularized determinant of the Laplacian for class' of spherical space forms2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Journal of Geomefry and Physics 58

      Pages: 64-88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Hilbert-Schmidt Operators and Berezin Ieerations2008

    • Author(s)
      W. Bauer K. Furutani
    • Journal Title

      Tokyo J. Mathematis 31

      Pages: 293-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Quantization operators on Quadrics2008

    • Author(s)
      Wolfvam Bauer and Kenro Furutani
    • Journal Title

      Kyushu Journal of Mathematics 62

      Pages: 221-258

    • NAID

      110006648026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Compact Operators and the Plurihanonic Berezin tnanoform2008

    • Author(s)
      W. Bauer K. Furutani
    • Journal Title

      International J. Mathematic 19

      Pages: 645-669

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Spectral Analysis and Geometry of a Sub-Riemannian Structure on S^3 and S^72008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Journal of Geometry and Physics Vol.58,No.12

      Pages: 1693-1738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Quantization operators on Quadrics2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Kyushu Journal of mathematics 62

      Pages: 221-258

    • NAID

      110006648026

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Zeta-regulariged Reterminat of the Laplacian for classes of Aphsrical Apace forms2008

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Journal of Geometry and Physics 58

      Pages: 64-88

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Spectral Analysis and Geometry of a sub-Riemannian Structure on S^3 and S^72008

    • Author(s)
      W. Bauer K. Furutani
    • Journal Title

      J. Geometry and Physics 58

      Pages: 1693-1738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Journal Article] Spectral zeta functions of a Riemaniann manitold of positive constant curvature2007

    • Author(s)
      Wolfram Bauer, Kenro Furutani
    • Journal Title

      Proceedings of the Sophia sympostum 2007

      Pages: 82-88

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Heat Kernels of the sub-Laplacian and the Laplacian on nilpotent Lie groups2006

    • Author(s)
      Kenro Furutani
    • Journal Title

      Analysis, Geometry and Topology of Elliptic operators papers in Honour of K.P.Wojciechowski

      Pages: 185-226

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Pseudo-differential operator and Reproducing kernels arrising in Geometric quantization2006

    • Author(s)
      K.Furutani
    • Journal Title

      Operator theory Advances and Application 164

      Pages: 133-151

    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Grusin Operator and heat kerrel on nilpotert Lie Groups2006

    • Author(s)
      Kenro Furutani, Chisato Iwasaki
    • Journal Title

      数理解析研究所講究録 1502

      Pages: 173-184

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Compsexified Hopf fibration and a psevdo-differential operators2006

    • Author(s)
      Kenro Furutani
    • Journal Title

      数理解析研究所講究録 1519

      Pages: 38-58

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow2006

    • Author(s)
      Kenro Furutani
    • Journal Title

      Journal of Geometry and Physics 56巻2号

      Pages: 310-321

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow2006

    • Author(s)
      Kenro Furutani
    • Journal Title

      Journal of Geometry and physics 56

      Pages: 310-321

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Heat Kerrels of the sub-Laplacian and Laplacion on nilpotent Lie Groups2006

    • Author(s)
      Kenro Furutani
    • Journal Title

      Analysis, Geomefry and Topology of Elliptic Operators

      Pages: 185-226

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow2006

    • Author(s)
      K.Furutani
    • Journal Title

      Journal of Geometry and Physics 56

      Pages: 310-321

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Pseudo-differential operator and Reproducing kernels arising in Geometric Quantization2006

    • Author(s)
      Kenro Furutani
    • Journal Title

      Operator Theory Advances and applications 164巻

      Pages: 133-156

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Atiyah-Patodi--Singer boundary condition and a splitting formula of a spectral flow2006

    • Author(s)
      K.Furutani
    • Journal Title

      Journal : Journal of Geometry and Physics 56

      Pages: 310-321

    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Fredholm-Lagrangian-Grassmannian and the Maslov index2004

    • Author(s)
      K.Furutani
    • Journal Title

      Journal of Geometry and Physics Vol.51, No.3

      Pages: 269-331

    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Spectral Analysis and Geometry of a sub-Laplacian and related Grushin type operators, to appear in Trends in partial Differential Equations and Spectral Theory in ''Advances in Partial Differential Equations''

    • Author(s)
      W. Bauer, K. Furutani, C. Iwasaki
    • Journal Title

      Birkhaeuser

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540082
  • [Journal Article] Atiyah-Patodi-Singec boandncy condctior, and_a_Aplitting Pamada of a speatcal Flow

    • Author(s)
      Kenro, Furatani
    • Journal Title

      Jowcnd of Geometcy and Physics 56

      Pages: 310-321

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2021

    • Author(s)
      Kenro Furutani
    • Organizer
      Himeji conference on Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2021

    • Author(s)
      Kenro Furutani
    • Organizer
      Microlocal and Global Analysis, Interactions with Geometry at Potsdam University , Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03662
  • [Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2021

    • Author(s)
      Kenro Furutani
    • Organizer
      Microlocal and Global Analysis, Interactions with Geometry at Potsdam University , Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2021

    • Author(s)
      古谷賢朗
    • Organizer
      立命館大学幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03662
  • [Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2021

    • Author(s)
      Kenro Furutani
    • Organizer
      Himeji conference on Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03662
  • [Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2021

    • Author(s)
      古谷賢朗
    • Organizer
      立命館大学幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Eigenvalue theorem for sub-Laplacian and behavior of Lagrangian submanifolds under submersion2019

    • Author(s)
      Kenro Furutani
    • Organizer
      Workshop Analysis and PDE, Leibniz University at Hannover, Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Lie algebras attached to a class of Clifford modules; existence of lattices, their classification and automorphism groups2019

    • Author(s)
      古谷賢朗
    • Organizer
      立命館大学幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Complete classification of pseudo H-type algebras and an application to Kac's problem with respect to Laplacian and sub-Laplacian2019

    • Author(s)
      古谷賢朗
    • Organizer
      研究集会:多様体上の微分方程式 at 金沢大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Eigenvalue theorem for sub-Laplacians and Lagrangian submanifolds satisfying Maslov quantization condition2019

    • Author(s)
      Kenro Furutani
    • Organizer
      2019 NCTS International Workshop on Geometric and Harmonic Analysis at National Taiwan University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Riemann submersion and Maslov quantization condition2019

    • Author(s)
      古谷賢朗
    • Organizer
      金沢大学数理学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Complete classification of Lie algebras attached to Clifford modules and an application2019

    • Author(s)
      古谷賢朗
    • Organizer
      信州大学topology seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] From elliptic operators to sub-elliptic operators2019

    • Author(s)
      古谷賢朗
    • Organizer
      Memorial workshop at Kyoto University for late professor H. Yoshizawa
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Complete classification of nilpotent Lie algebras attached to a certain kind of Clifford modules and an application2019

    • Author(s)
      古谷賢朗
    • Organizer
      広島大学 Topology-Geometry seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Eigenvalue theorem for sub-Laplacian and Lagrangian submanifolds satisfying Maslov quantization condition2019

    • Author(s)
      Kenro Furutani
    • Organizer
      Geometry and Mathematical Physics seminar at Copenhagen university, Denmark
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Riemann submersion and Maslov quantization condition2019

    • Author(s)
      Kenro Furutani
    • Organizer
      2018 Naha Workshop on Mathematical Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Weyl-type law for a sub-Laplacian2019

    • Author(s)
      Kenro Furutani
    • Organizer
      International Workshop on Applied Analysis and Optimization 2019 at China Medical University, Taichung, Taiwan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Geometry and Analysis of non-holonomic structure2018

    • Author(s)
      古谷賢朗
    • Organizer
      靜岡大学複素解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Automorphism groups of pseudo H-type groups2018

    • Author(s)
      Kenro Furutani
    • Organizer
      2018 NCTS Geometric and Harmonic Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Submersion and Maslov quantization condition2018

    • Author(s)
      Kenro Furutani
    • Organizer
      2018 IWAAO at China Medical University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Complete classification of pseudo H-type algebras and an application2017

    • Author(s)
      Kenro Furutani
    • Organizer
      2017 NCTS International Workshop on Harmonic Analysis and Geometric Analysis, National Taiwan university, Taipei, Taiwan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Complete classification of pseudo H-type algebras and an application2017

    • Author(s)
      Kenro Furutani
    • Organizer
      2017 Geometric and Singular Analysis
    • Place of Presentation
      ドイツ・ポツダム大学
    • Year and Date
      2017-02-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Sub-Riemannian structures on a principal bundle and their Popp's measure2017

    • Author(s)
      Kenro Furutani
    • Organizer
      Analysis seminar at Leibniz University Hannover, Hannover, Germany
    • Place of Presentation
      Leibniz University Hannover, Hannover, Germany
    • Year and Date
      2017-02-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Complete classification of pseudo H-type algebras and an application2017

    • Author(s)
      古谷賢朗
    • Organizer
      微分方程式と幾何学、立命館大学研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] Sub-Riemannian structures in a principal bundle and their Popp mesures2017

    • Author(s)
      Kenro Furutani
    • Organizer
      2017 International Workshop on Applied Analysis and Optimization, China medical university, Taichung, Taiwan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05284
  • [Presentation] A codimension 3 sub-Riemannian structure on Gromoll-Meyer exotic 7 sphere2016

    • Author(s)
      Kenro Furutani
    • Organizer
      Analysis seminar at Leibniz University Hannover, Hannover, Germany
    • Place of Presentation
      Leibniz University Hannover, Hannover, Germany
    • Year and Date
      2016-07-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] A codimension 3 sub-Riemannian structure on Gromoll-Meyer exotic 7 sphere2016

    • Author(s)
      Kenro Furutani
    • Organizer
      National Center for Theoretical Science International Workshop on Geometric analysis and Sub-elliptic PD's
    • Place of Presentation
      National Taiwan University, Taipei, Taiwan
    • Year and Date
      2016-05-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Complete classification of pseudo H-type algebras and isospectral non-diffeomorphic nilmanifolds2016

    • Author(s)
      Kenro Furutani
    • Organizer
      Representation seminar of Kyushu University
    • Place of Presentation
      九州大学(福岡市)
    • Year and Date
      2016-01-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] A codimension 3 sub-Riemannian structure on Gromoll-Meyer exotic 7 sphere2016

    • Author(s)
      Kenro Furutani
    • Organizer
      Geometry seminar at 立命館大学
    • Place of Presentation
      立命館大学、草津市、滋賀県
    • Year and Date
      2016-09-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Bi-characteristic flows of a sub-Laplacian and related Grushin type operators2016

    • Author(s)
      Kenro Furutani
    • Organizer
      International Workshop on Applied Analysis and Optimization
    • Place of Presentation
      中国医科薬科大学、台中市、台湾
    • Year and Date
      2016-05-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] A codimension 3 sub-Riemannian structure on Gromoll-Meyer exotic 7 sphere2016

    • Author(s)
      Kenro Furutani
    • Organizer
      Operator algebra seminar at Copenhagen University
    • Place of Presentation
      Copenhagen University, Copenhagen, Denmark
    • Year and Date
      2016-07-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] isopsectral non-diffeomorphic nilmanifolds attached to Clifford modules2015

    • Author(s)
      Kenro Furutani
    • Organizer
      International Workshop:Geometric and Singular Analysis
    • Place of Presentation
      University of Potsdam, Germany
    • Year and Date
      2015-02-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Geometry of Symmetric Operators2015

    • Author(s)
      Kenro Furutani
    • Organizer
      Analysis seminar at University of Bergen
    • Place of Presentation
      University of Bergen, Bergen(Norway)
    • Year and Date
      2015-09-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Hamilton-Jacobi equation attached to a higher step Grushin operator and its heat kernel2015

    • Author(s)
      Kenro Furutani
    • Organizer
      Workshop on Analysis and PDE, at Leibniz universitaat Hannover
    • Place of Presentation
      Leibniz universitaat Hannover, Hannover(Germany)
    • Year and Date
      2015-09-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Spectrum of the sub-Laplacian and Laplacian on nilmanifolds attached to Cliffor modules and isospectral non-diffeomorphic manifolds2015

    • Author(s)
      Kenro Furutani
    • Organizer
      Himeji conference on partial differential equations
    • Place of Presentation
      イーグレ姫路, 兵庫県姫路市
    • Year and Date
      2015-03-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Isospectral but non-diffeomorphic nilmanifolds attached to Clifford modules2015

    • Author(s)
      Kenro Furutani
    • Organizer
      Jahrestagung der Deutschhen Mathematiker-Vereiningug 2015, Mini-symposium, Symplectic Structures in Geometric Analysis
    • Place of Presentation
      University of Hamburg, Hamburg(Germany)
    • Year and Date
      2015-09-22
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Lie algebras attached to Clifford modules, their classification and application to Kac's problem2015

    • Author(s)
      Kenro Furutani
    • Organizer
      Algebra seminar at University of Bergen
    • Place of Presentation
      University of Bergen, Bergen(Norway)
    • Year and Date
      2015-08-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Classification of pseudo H-type algebras and isospectral nilmanifolds2015

    • Author(s)
      Kenro Furutani
    • Organizer
      2015 NCTS International Workshop in Subelliptic PDEs and Singular Analysis
    • Place of Presentation
      National Taiwan University, Taipei(Taiwan)
    • Year and Date
      2015-06-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Bicharacteristic flow of the spherical Grushin operator and isoperimetric problem2015

    • Author(s)
      Kenro Furutani
    • Organizer
      2015 International Workshop on Applied Analysis and Optimization
    • Place of Presentation
      China Medicine University, Taichung(Taiwan)
    • Year and Date
      2015-06-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Towards a construction of a heat kernel for a higher step Grushin operator2014

    • Author(s)
      Kenro Furutani
    • Organizer
      2014 Analysis seminar at University of Bergen
    • Place of Presentation
      Univeristy of Bergen, Norway
    • Year and Date
      2014-08-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Pseuo H-type Groups and Their Integral Structure2014

    • Author(s)
      Kenro Furutani
    • Organizer
      Fu-Jen Cathoric University Analysis Forum
    • Place of Presentation
      Fu-Jen Cathoric University, Taiwam
    • Year and Date
      2014-06-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Towards a construction of a heat kernel for a higher step Grushin operator2014

    • Author(s)
      Kenro Furutani
    • Organizer
      2014 Geometry Nara
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2014-08-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] Isospectral but non-diffeomorphic nilmanifolds with respect to sub-Laplacians2014

    • Author(s)
      Kenro Furutani
    • Organizer
      Hong Kong Baptist University Analysis Seminar
    • Place of Presentation
      Hong Kong Baptist university, Hong Kong
    • Year and Date
      2014-10-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
  • [Presentation] A solution of a Hamilton system asso- cieted to a higher step Grushin operator2013

    • Author(s)
      Kenro Furutani
    • Organizer
      2013 NCTS Workshop on Geometric and Singular Analysis
    • Place of Presentation
      台湾 新竹市 国立清華大学 国家理論中心
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Functional equation of s spectral zeta function of a sub-Laplacian on a nilmanifold2013

    • Author(s)
      Kenro Furutani
    • Organizer
      2013 Workshop on Analysis and Sub-Riemann Geometry
    • Place of Presentation
      Greifswald Uni- versität, Greifswald, Germany
    • Year and Date
      2013-08-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Towards a construction of the heat ker- nel for a higher step Grushin operator2013

    • Author(s)
      Kenro Furutani
    • Organizer
      Obersem- inar:Analysis partial Differentialgleichung
    • Place of Presentation
      Ludig Maximilias Universit¨at Munchen, Munich, Germany
    • Year and Date
      2013-05-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Functional equation of a spectral zeta function of a sub-Laplacian on a nilmanifold2013

    • Author(s)
      Kenro Furutani
    • Organizer
      Workshop : Analysis & Sub-Riemannian Geometry @ University of Greifswald
    • Place of Presentation
      University of Greifswald, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] A solution of a Hamilton system associated to a higher step Grushin Operator2013

    • Author(s)
      Kenro Furutani
    • Organizer
      2013 NCTS International Conference on Geometric and Singular Analysis
    • Place of Presentation
      国立清華大学, 台湾
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Second regularization of zeta- determinants for an inifite family od ellip- tic operators2012

    • Author(s)
      Kenro Furutani
    • Organizer
      2012 International conference on Fourier Analysis and Pseudo-differential opera- tors
    • Place of Presentation
      Aalto university, Espoo, Finland
    • Year and Date
      2012-06-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] A second regularization of zeta-determinants for an infinite family of elliptic operators2012

    • Author(s)
      Kenro Furutani
    • Organizer
      2012 Fourier Analysis and Pseudo-differential Operators
    • Place of Presentation
      Aalto University, Espoo, Finland
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Trace formula for a sub-Laplacian on SL(2,R)2012

    • Author(s)
      Kenro Furutani
    • Organizer
      2012 Workshop Geometric and Singular Analysis(招待講演)
    • Place of Presentation
      University of Potsdam, Germany
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Trace formula for a sub-Laplacian on SL(2, R)2012

    • Author(s)
      Kenro Furutani
    • Organizer
      2012 Workshop Geometric and Singu- lar Analysis
    • Place of Presentation
      University of Potsdam, Potsdam, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Triviarizable sub-Riemann struc- ture and Spectral Analysis2011

    • Author(s)
      Kenro Furutani
    • Organizer
      2011 Taiwan-Japan Joint Workshop on Pratial differential equa- tion and Geometric Analysis at National Cen- ter for Theoretical Science, Devision mathemat- ics
    • Place of Presentation
      National Shinhua University, Hinchu, Taiwan
    • Year and Date
      2011-12-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Heat Kernel of the Grushin Opera- tor and Complex Hamilton-Jacobi Method2011

    • Author(s)
      Kenro Furutani
    • Organizer
      DMV Jahrestangung 2011
    • Place of Presentation
      University of K¨oln, Ger- many
    • Year and Date
      2011-09-20
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Heat Kernel of the Grushin Operator and Complex Hamilton-Jacobi Method2011

    • Author(s)
      Kenro Furutani
    • Organizer
      DMV Jahrestangung 2011 at University of Koeln(招待講演)
    • Place of Presentation
      Unversity of Koeln, Germany
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] A solution of a Hamilton system associated to a higher step Grushin Operator and a kernel function2011

    • Author(s)
      Kenro Furutani
    • Organizer
      Seminar at Georg-August University Goettingen (2011/10/04)(招待講演)
    • Place of Presentation
      University of Goettingen, Germany
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Triviarizable sub-Riemann structure and Spectral Analysis2011

    • Author(s)
      Kenro Furutani
    • Organizer
      2011 Taiwan-Japan Joint Workshop on Pratial differential equation and Geometric Analysis at National Shinhua University(招待講演)
    • Place of Presentation
      NCTS at National Shinhua University,Taiwan
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] A solution of a Hamilton system asso- ciated to a higher step Grushin Operator and a kernel function2011

    • Author(s)
      Kenro Furutani
    • Organizer
      Seminar at Georg-August Uni- versity G¨ottingen
    • Place of Presentation
      Georg- August University G¨ottingen
    • Year and Date
      2011-10-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Theta functions and sub-Riemannian manifolds2010

    • Author(s)
      古谷賢朗
    • Organizer
      International Workshop Operators on Singular Spaces
    • Place of Presentation
      University of Potsdam, Potsdam, Germany(招待講演)
    • Year and Date
      2010-03-09
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Heat Kernel of sub-Laplacian and Grushin type operators2009

    • Author(s)
      Kenro Furutani
    • Organizer
      ISAAC congress at London 2009
    • Place of Presentation
      Imperial Colleadge at London
    • Year and Date
      2009-07-15
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Grushin type operator, singular Riemannian geometry and heat kernel2009

    • Author(s)
      古谷賢朗
    • Organizer
      Workshop on elliptic and parabolic equations
    • Place of Presentation
      University of Potsdam, Germany(招待講演)
    • Year and Date
      2009-01-05
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Zeta-regularized determinant of product manifolds and Kronecker's second limit formula2009

    • Author(s)
      古谷賢朗
    • Organizer
      姫路偏微分方程式研究集会
    • Place of Presentation
      兵庫県立大学(招待講演)
    • Year and Date
      2009-02-20
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Generalized Atiyah-Patodi-Singer boundary conditions and a variation of spectral flow formula2009

    • Author(s)
      古谷賢朗
    • Organizer
      Abstract Harmonic Analysis 2009 at National Sun Yat-sen University
    • Place of Presentation
      Kaohsiung, Taiwan(招待講演)
    • Year and Date
      2009-12-19
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Heat kernel of a sub-Laplacian and Grushin type operators2009

    • Author(s)
      古谷賢朗
    • Organizer
      ISAAC congress at London 2009
    • Place of Presentation
      Imperial college, London, England(招待講演)
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Spectrum and Heat kernel on nilmanifolds2009

    • Author(s)
      古谷賢朗
    • Organizer
      Fu-Jen Catholic university Analysis Forum
    • Place of Presentation
      Taipei, Taiwan(招待講演)
    • Year and Date
      2009-12-24
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Kaehler structure on the punctured cotangent bundle and geometric quantization2009

    • Author(s)
      古谷賢朗
    • Organizer
      2009 Taiwan-Norway Joint Workshop on Geometric Analysis and Mathematical Physics, National Center for Theoretical Science, Devision mathematics
    • Place of Presentation
      National Shinhua University, Hinchu, Taiwan(招待講演)
    • Year and Date
      2009-12-15
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Sub-Riemann structure and Grushin operator2008

    • Author(s)
      古谷賢朗
    • Organizer
      Pseudo-differential operators and related topics at Vaxjo Univerity
    • Place of Presentation
      Sweden(招待講演)
    • Year and Date
      2008-06-02
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Heat Kernel and Spectral Zeta Function of sub-Laplacian on S^3 and S^72008

    • Author(s)
      古谷賢朗
    • Organizer
      International Conference on Partial Differential Equations and Spectral Theory at Haus Hessenkopf 38644
    • Place of Presentation
      Goslar, Germany(招待講演)
    • Year and Date
      2008-09-05
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Heat Kernel and Spectral Zeta function of sub-Riemannian on S^3 and S^72008

    • Author(s)
      Kenro Furutani
    • Organizer
      International Conference on partial differential equations and Spectral theory
    • Place of Presentation
      ドイツ, ゴスラー
    • Year and Date
      2008-09-05
    • Data Source
      KAKENHI-PROJECT-20540218
  • [Presentation] Heat Kernel and the spectral zeta functcier of the sub-Laplaction on S^3 and S^72007

    • Author(s)
      Kenro Furutani
    • Organizer
      mcni-work shop:Functrcir al Analysis and Mafhematical Physics
    • Place of Presentation
      Roskilde Univ.(Denmark)
    • Year and Date
      2007-12-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Presentation] Heat Kernel and spectral zeta function of the Soh-Laplacian on S^3 and S^72007

    • Author(s)
      Kenro Furutani
    • Organizer
      mini-Work shop: Functional Analysis and Mathematical Physics
    • Place of Presentation
      Roskilde大学
    • Year and Date
      2007-12-03
    • Data Source
      KAKENHI-PROJECT-17540202
  • [Presentation] Towards a construction of the heat kernel for a higher step Grushin operator

    • Author(s)
      Kenro Furutani
    • Organizer
      Oberseminar:analysis partieller Differentialgleichungen
    • Place of Presentation
      Ludwig Maximilians University Munich, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540251
  • [Presentation] Pseu H-type Groups and their classification

    • Author(s)
      Kenro Furutani
    • Organizer
      2014 NCTS Workshop on Geometric and Singular Analysis
    • Place of Presentation
      National Tsing-Hua University, Taiwan
    • Year and Date
      2014-06-03 – 2014-06-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400124
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    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 2.  OMORI Hideki (20087018)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 3.  OTSUKI Nobukazu (80112895)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 4.  KOBAYASHI Takao (90178319)
    # of Collaborated Projects: 8 results
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  • 5.  OKA Hasatoshi (70120178)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  YOOHIOKA Akira (40200935)
    # of Collaborated Projects: 6 results
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  • 7.  MORIMOTO Tohru (80025460)
    # of Collaborated Projects: 5 results
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  • 8.  IWASAKI Chisato (30028261)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 12 results
  • 9.  SHOJI Toshiaki (40120191)
    # of Collaborated Projects: 3 results
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  • 10.  ARAKI Fujihiro (20027361)
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  • 12.  AGAOKA Yoshio (50192894)
    # of Collaborated Projects: 3 results
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  • 13.  TANAKA Makiko (20255623)
    # of Collaborated Projects: 3 results
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  • 14.  吾郷 孝視 (60112893)
    # of Collaborated Projects: 3 results
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  • 15.  MACHIDA Yoshinori (90141895)
    # of Collaborated Projects: 2 results
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  • 16.  Tamura Mitsuji (60536548)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 4 results
  • 17.  木村 俊房 (50011466)
    # of Collaborated Projects: 2 results
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  • 18.  原 民夫 (10120205)
    # of Collaborated Projects: 2 results
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  • 19.  田宮 高紀 (60183472)
    # of Collaborated Projects: 2 results
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  • 20.  合田 洋 (60266913)
    # of Collaborated Projects: 2 results
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  • 21.  BAUER Wolfram
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 7 results
  • 22.  MARKINA Irina
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 6 results
  • 23.  KOISO Miyuki (10178189)
    # of Collaborated Projects: 1 results
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  • 24.  ARAKAWA Tomoyuki (40377974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  KIYOHARA Kazuyoshi (80153245)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KISO Kazuhiro (60116928)
    # of Collaborated Projects: 1 results
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  • 27.  NAKANISHI Nobutada (50124053)
    # of Collaborated Projects: 1 results
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  • 28.  KATAGIRI Minyo (60263422)
    # of Collaborated Projects: 1 results
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  • 29.  TSUKAMOTO Chiaki (80155340)
    # of Collaborated Projects: 1 results
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  • 30.  TACHIKAWA Atsushi (50188257)
    # of Collaborated Projects: 1 results
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  • 31.  NAGASAWA Takeyuki (70202223)
    # of Collaborated Projects: 1 results
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  • 34.  BAUER Wdfram (80453819)
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  • 35.  細尾 敏男 (30130339)
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  • 36.  小谷 孝一 (80183341)
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  • 37.  田口 淑子 (70120194)
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  • 38.  中村 玄 (50118535)
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  • 39.  高橋 秀一 (90158999)
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