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)	2023: 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 / Global analysis / Basic analysis / 解析学 / Basic Section 12010:Basic analysis-related 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 / 熱核 / スペクトル流 / Polarization / Cayley射影平面 / 楕円型作用素 / 大域解析学 … More / Clifford algebra / Grushin type 作用素 / ベキ零リー群 / spectral zeta function / elliptic operator / 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 / modified Bessel function / pseudo H-type algebra / exotic sphere / bi-characteristic flow / 国際共同研究 / 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 / Clifford 代数 / sub-Riemann 構造 / 幾何学的量子化 / zeta-regularized determinant / 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 / 一様離散部分群 / pseudo H-type群 / Clifford代数 / Fredholm作用素 / Incident relation / Radon変換 / Popp’s measure / Weyl asymptotics / Fourier 積分作用素 / 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 / lattice / 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 / sub Laplacian / 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

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

[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: - 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 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

1. KOBAYASHI Reido (70120186)

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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

From elliptic operators to sub-elliptic operatorsPrincipal Investigator

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Study of the Analysis on ManifoldsPrincipal Investigator

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Study of the Analysis on ManifoldsPrincipal Investigator

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Study of Analysis on ManifoldsPrincipal Investigator

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Study of Analysis on ManifoldsPrincipal Investigator

Principal Investigator

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Principal Investigator

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Study of Analysis on ManifoldsPrincipal Investigator

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Principal Investigator

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Study of Analysis on ManifoldsPrincipal Investigator

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Studies of Analysis on manifoldsPrincipal 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