Furutani Kenro 古谷賢朗

… 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)	2025: 大阪公立大学, 数学研究所, 特別研究員
Affiliation (based on the past Project Information) *help	2022 – 2024: 大阪公立大学, 数学研究所, 特別研究員 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 … More 1999: 東京理科大学, 理工学部・数学科, 教授 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 / Basic Section 12010:Basic analysis-related / Global analysis / Basic analysis / 解析学 Except Principal Investigator Geometry / Geometry / 解析学 / Global analysis / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator Maslov index / sub-Laplacian / Spectral flow / Grushin type operator / spectral zeta function / 熱核 / Fourier積分作用素 / スペクトル流 / Polarization / Cayley射影平面 … More / 楕円型作用素 / 国際共同研究 / 大域解析学 / Clifford algebra / Clifford 代数 / sub-Riemann 構造 / Grushin type 作用素 / ベキ零リー群 / elliptic operator / Radon 変換 / Fourier 積分作用素 / sub-Riemann構造 / Clifford module / Quantization / Fredholm operator / Cayley projective plane / Fredholm pair / 測地流 / 量子化 / lattice / modified Bessel function / pseudo H-type algebra / exotic sphere / bi-characteristic flow / heat kernel / 劣楕円型作用素 / non-holonomic structure / 関数解析学 / Grushin作用素 / spectral zeta 関数 / sub Laplacian / 幾何学的量子化 / zeta-regularized determinant / sub-riemann structure / pseudo H type algebra / 劣楕円型作用素と熱核 / ベキ零LIe群 / Spectral invariants / 不変多項式 / Lagrange sub-manifold / Bargmann 変換 / polarization / Symplectic 多様体 / Calabi-Yau 構造 / pseudo H-type群 / Clifford代数 / Fredholm作用素 / Incident relation / Radon変換 / 一様離散部部分群 / pseudo H type Lie 環(群) / Conic singularity / double submersion / incidence relation / pseudo H type Lie 群 / Lagrangian submanifold / Radon transformation / sub Riemann構造 / 一様離散部分群 / pseudo H type Lie group / Popp’s measure / Weyl asymptotics / Quantization condition / sub-Riemann structure / isospectral problem / pseudo H type Lie 環 / Calabi-Yau structure / Riemann zeta function / spectral inverse problem / admissible module / pseudo H-type Lie代数 / Lagrangian distribution / Calabi-Yau構造 / Maslov 量子化条件 / spectral zeta関数 / pseudo H-type Lie環(群) / Beverin trans form / Toplity openata / Hilbert-Schmidt operator / Apkevical Apace form / Seta-wgataviged Deteiminant / Afrya-Patodi-singer bourdary conditior / elliptic openrator / spectral flow / Pseudo-differential operator / Geometric quantization / 非局所的楕円型境界条件 / Hormander Index / 楕円関数 / hyper geometric sertes / Fock Space / Hilbert-Schmidt Operator / Segal-Bargmann Space / Pseudo-differential Operator / Reproducing Kernel / Geometric Quantization / sub-Riemanian structure / 江上補間方法 / zeta正則化行列式 / lenz space / spherical space form / ベレージン変換 / テプリッ作用素 / ヒルベルトツュシット作用素 / 球空間形 / ゼーター正則化行列式 / Atryah-Patodi-Songer境界条件 / zeta-regularided determinant / Quaternion Projective spare / symplectic manifold / product form / スペクトル逆問題 / 境界値問題 / 楕円型微分作用素 / マスロク指数 / Heat Kernel / Mellin transformation / Caplacian / Maslov line bundle / Quillen determinant / 無限積 / Epstein zeta funtion / Heisenberg manifold / Quaternion projective space / Symplectic manifold / Spectral folw / quantization / geodesic flow / Kahler form / Cauchy data space / Spectral invariant / maslov index / Pairing / Kahler structure / Lagrangian subspace / Symplectic Hilbert space / マスロフ指数 / 四元数射影空間 / Kahler型式 / 積分作用素 / Fourier / Frendholm index / シンプレクテック多様体 / 正準変換 / 基本解 / Grushin 作用素 / ベキ零リー環 / isospectral manifold / non holonomic structure / 漸近展開 / Zeta正則化行列式 / 作用関数 / ベキ零Lie群 / Spectral zeta関数 / Heisenberg 群 / zeta determinant / sub Riemann structure / 一般ハイゼンベルグタイプ群 / ベキ零多様体 / Spectral zeta 関数 / Toepl〓作用素 / Hankel 作用素 / sub-Laplaciar / 再生核 / Berezin変換 / nilmanifold / 陪特性曲線 / Hamilton system / Grushin type Operator / heat Kernel / sub-Riemannian多様体 / non-holonomic subbundle / Toeplitz作用素 / non-holonomic sub-bundle / sub-Riemann多様体 / η(eta)-invariant / index theorem / Dirac operator / Fredholm 作用素 / Cauchy data … More Except Principal Investigator サブリーマン幾何 / 巾零解析 / 巾零幾何 / nilpotent geometry / nilpotent analysis / 外在的幾何 / 旗多様体 / リー環の表現と微分方程式 / 変形量子化 / 量子化 / representation of Lie algebra and system of PDEs / Cartan connection / subriemannian geometry / リー環の表現と微分方程式系 / カルタン接続 / energy functional / Finsler manifold / Harmonic maps / regularity / Variattional Problems / エネルギー汎関数 / フィンスラー多様体 / 調和写像 / 正則性 / 変分問題 / Deformation quantization / CFT / 数理物理学 / モワイヤル積 / 積 / ワイル順序付け表式 / 二次元共形場 / XY鎖 / 作用素凸関係 / 既約指標 / 部分因子環 / 共形場 / non commutative differential geometry / star-product (-product) / non commutative geometry / 幾何学的量子化 / 水一積 / -積 / 非可換微分幾何学 / 一積 / 非可換幾何学 / リー環の表現と幾何 / 微分方程式の幾何 / 外在幾何 / Klein-Cartanプログラム / 線形偏微分方程式 / 剛性定理 / 微分方程式系の不変量 / Klein-Cartan Program / Klein-Cartan programme / 不変量 / 微分方程式系 / 内在的幾何 / 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 / 国際研究者交流 / カルタン幾何 / 線形偏微分方程式系の不変量 / 旗多様体での外在的幾何 / フィルター付き多様体 / 橋指数 / 束縛状態 / 有限エネルギーセクター / 赤外セクター / ソリトンセクター / シングルトン / ドシッタ空間 / 位相的場の理論 / 不動点集合 / SKインヴァリアント / オイラー標数 / SK群 / スライスタイプ / ウオール多様体 / 群作用 / コボルディズム / STAR PRODUCT / DEFORMATION QUANTIZATION / 力学 / シンプレクティック幾何 / 可積分系 / ポアソン構造 / deformation quantization / star product / homoclinic point / 特性指数 / 正則解 / 大久保型方程式系. / Painleve / monodromy / Coadjoint orbit / Ktrillov Theory / Laplacian / Spectrum / 表現論 / 代数群 / *‐products / Deformation Quantization / progective space / symmetric group / automorphism group / cremona zransformation / del Pezzo surface / moduli / stable vector bundle / cubic surface / 非可換微分幾化 / スタ-積 / ワイル多様体 / スペクトラルフロ- / 測地流 / 積分可能系 / カオス / 力学系 Less

Study of global analysis and related geometryPrincipal Investigator
- Principal Investigator
  
  古谷賢朗
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Osaka Metropolitan University
From elliptic operators to sub-elliptic operatorsPrincipal Investigator
- Principal Investigator
  
  Furutani Kenro
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Osaka Metropolitan University
  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

[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] Calabi–Yau structure and Bargmann type transformation on the Cayley projective plane2022
- Author(s)
  Kurando Baba and Kenro Furutani
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 74 Issue: 4 Pages: 1107-1168
- DOI
  10.2969/jmsj/86638663
- ISSN
  0025-5645, 1881-1167, 1881-2333
- URL
  https://ocu-omu.repo.nii.ac.jp/records/2016914
- Language
  English
- Peer Reviewed
- Data Source
  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: - Issue: 1-2 Pages: 557-583
- 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 Issue: 14 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: - Issue: 1 Pages: 23-51
- 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 Issue: 12 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] 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 Issue: 4 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] Trivializable sub-Riemannian structures on spheres2013
- Author(s)
  Wolfram Bauer and Kenro Furutani and Chisato Iwasaki
- Journal Title
  
  Bulletin des Sciences Math´ ematiques
  
  Volume: 137, No. 3 Issue: 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
  
  J. Math. Pures Appl
  
  Volume: Vol.97 Issue: 3 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 Issue: 9 Pages: 1949-1976
- 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 plane2024
- Author(s)
  古谷賢朗
- Organizer
  東北大学大学院情報学研究科解析と幾何セミナー、2024年2月9日
- Invited
- Data Source
  KAKENHI-PROJECT-20K03662
[Presentation] Invariant integral lattices in pseudo H-type Lie algebras:construction and classification2024
- Author(s)
  古谷賢朗
- Organizer
  東北大学大学院情報学研究科解析と幾何セミナー、2024年2月7日
- Invited
- Data Source
  KAKENHI-PROJECT-20K03662
[Presentation] Invariant integral lattices in pseudo H-type Lie algebras: contractions and classification2023
- Author(s)
  古谷賢朗
- Organizer
  東京理科大学野田キャンパス数理科学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03662
[Presentation] Radon transformation and Fourier integral operators2023
- Author(s)
  Kenro Furutani
- Organizer
  Analysis Seminar, Leibniz University of Hannover, 8/July/2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03662
[Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2023
- Author(s)
  古谷賢朗
- Organizer
  名古屋数理情報科学研究会 2023, 07/April/2023
- Invited
- Data Source
  KAKENHI-PROJECT-20K03662
[Presentation] Calabi~Yau structure and Bargmann type transformation on the Cayley projective plane2022
- Author(s)
  Kenro Furutani
- Organizer
  Correspondences of various geometries at 奈良女子大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03662
[Presentation] Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane2022
- Author(s)
  Kenro Furutani
- Organizer
  Analysis seminar at University of Bergen, Norway
- 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
  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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Furutani Kenro 古谷 賢朗

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

Research Projects

Research Products

Co-Researchers

Study of global analysis and related geometryPrincipal Investigator

Principal Investigator

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Review Section

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From elliptic operators to sub-elliptic operatorsPrincipal Investigator

Principal Investigator

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Review Section

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Study of the Analysis on ManifoldsPrincipal Investigator

Principal Investigator

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Study of the Analysis on ManifoldsPrincipal Investigator

Principal Investigator

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Research Institution

Principal Investigator

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Research Category

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Study of Analysis on ManifoldsPrincipal Investigator

Principal Investigator

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Research Institution

Study of Analysis on ManifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Analysis on ManifoldsPrincipal Investigator

Principal Investigator

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Research Institution

Principal Investigator

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Research Category

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Study of Analysis on ManifoldsPrincipal Investigator

Principal Investigator

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Principal Investigator

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Research Category

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Principal Investigator

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Furutani Kenro 古谷賢朗

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