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FUJIWARA Hidenori  藤原 英徳

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HUJIWARA Hidenori  藤原 英徳

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Researcher Number 50108643
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2004 – 2010: Kinki University, School of Humanity-Oriented Science and Engeneering, Professor, 産業理工学部, 教授
1999 – 2004: 近畿大学, 九州工学部, 教授
1992 – 1994: Faculty of Engineering in Kyushu,Kinki University,Professor, 九州工学部, 教授
1993: 近畿大学, 九州光学部, 教授
Review Section/Research Field
Principal Investigator
Basic analysis / Basic analysis / 解析学
Except Principal Investigator
Basic analysis / 解析学
Keywords
Principal Investigator
ユニタリ表現 / 軌道の方法 / 不変微分作用素 / 単項表現 / 可解リー群 / 誘導表現 / 既約分解 / 指数型可解リー群 / 繋絡作用素 / nilpotent Lie group … More / unitary representation / orbit method / 冪零リー群 / 余随伴表現 / プランシュレル公式 / フロベニウスの相互律 / 巾零リー群 / 重複度 / solvable Lie group / irreducible decomposition / multiplicity / invariant differential operator / monomial representation / 表現の制限 / リー群 / Plancherel公式 / 対称空間 / ファーレイ分数 / リーマン予想 / ゼータ函数 / Exponential Solvable Lie Group / Monomial Representation / Intertwining Operator / Plancherel Formula / Symmetric Space / Farey Fraction / Riemann Hypothesis / Zeta Function / 既約公解 / 羃零リー群 / 既約表現 / 巾零リー環 / 微分作用素 / 表現論 / 調和解析 / フロべニウスの相互律 / representation theory / exponential solvable Lie group / harmonic analysis / intertwining operator / Frobenius reciprocity … More
Except Principal Investigator
表現論 / 調和解析 / Jones index / ユニタリ表現 / 非可換調和解析 / リー群 / 等質空間 / 冪零リー群 / 不連続群 / アフリカ / 解析学 / 関数解析学 / 関数論 / 幾何学 / ジーゲル領域 / 等質錐 / ジョルダン代数 / 等質開凸錐 / ジョーンズの指数 / 完全正値写像 / 量子系のエントロピー理論 / 量子群とその表現 / 無限次元リー群、リー環 / 発展方程式 / シュレデインガー作用素 / 佐藤の超関数 / 非有界作用素環 / 情報力学 / 非線形関数解析 / 拡散方程式 / 幾何学的方程式 / 対称空間上の調和解析 / 佐藤超関数 / Completely positive maps / Entropies of quantum systems / Quantum groups / Infinite-dimensional Lie groups and Lie algebras / Evolution equation / Schrodinger operators / Microlocal analysis / 実解析学 / 函数解析学 / 函数空間と作用素 / 表現論と調和解析 / 作用素環 / 函数環 / 偏微分方程式 / real analysis / functional analysis / function space / representation / operator algebra / function algebra / harmonic analysis / partial differential equation Less
  • Research Projects

    (9 results)
  • Research Products

    (41 results)
  • Co-Researchers

    (25 People)
  •  Induction and restriction of representationsPrincipal Investigator

    • Principal Investigator
      FUJIWARA Hidenori
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kinki University
  •  Geometric Harmonic Analysis on Homogeneous Cones and Homogeneous Siegel Domains

    • Principal Investigator
      NOMURA Takaaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Unitary representations and harmonic analysis for exponential solvable Lie groupsPrincipal Investigator

    • Principal Investigator
      FUJIWARA Hidenori
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kinki University
  •  非可換調和解析とユニタリ表現論の国際学術交流と共同研究に関する調査

    • Principal Investigator
      小林 俊行
    • Project Period (FY)
      2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Representations of solvable Lie groups and differential operatorsPrincipal Investigator

    • Principal Investigator
      FUJIWARA Hidenori
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kinki University
  •  Monomial representation of solvable Lie groupsPrincipal Investigator

    • Principal Investigator
      FUJIWARA Hidenori
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kinki University
  •  Comprehensive study of real analysis and functional analysis

    • Principal Investigator
      HIRAI Takeshi
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  Harmonic analysis on solvable Lie groups and discrete subgroupsPrincipal Investigator

    • Principal Investigator
      FUJIWARA Hidenori
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kinki University
  •  STUDIES ON FUNCTIONAL AND REAL ANALYSES VIA UNIVERSAL AND UNIFIED APPROACH

    • Principal Investigator
      OKAYASU Takateru
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Yamagata University

All 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] 指数型可解リー群のユニタリ表現-軌道の方法2010

    • Author(s)
      藤原英徳
    • Total Pages
      336
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Journal Article] Harmonic analysis related to unitary representations of exponential solvable Lie groups : Orbit method2010

    • Author(s)
      H.Fujiwara
    • Journal Title

      Sugaku Expositions AMS 23

      Pages: 169-187

    • NAID

      130004558836

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Journal Article] A variant of the Frobenius reciprocity for restricted representations on nilpotent Lie groups dans 《Infinite Dimensional Harmonic Analysis IV》2008

    • Author(s)
      Baklouti, H. Fujiwara, J. Ludwig
    • Journal Title

      World Scientific Publishing Co.

      Pages: 13-31

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Journal Article] Harmonic analysis related to unitary representations of exponential Solvable Lie groups-orbit method-2008

    • Author(s)
      Hidenori Fujiwara
    • Journal Title

      to appear in Sugaku Translation 21

    • NAID

      130004558836

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] Certaines remarques sur 1' algebre des operateurs differentiels invariants pour la representation monomiale d' un groupe de Lie nilpotent, Proc.2007

    • Author(s)
      Hidenori Fujiwara
    • Journal Title

      Tunisian Math. Soc. 11

      Pages: 37-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340039
  • [Journal Article] 指数型可解リー群のユニタリ表現に関連する調和解析2007

    • Author(s)
      藤原 英徳
    • Journal Title

      数学 59

      Pages: 225-242

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340039
  • [Journal Article] 指数型可解リー群のユニタリ表現に関連する調和解析-軌道の方法2007

    • Author(s)
      藤原英徳
    • Journal Title

      数学 29

      Pages: 225-242

    • NAID

      130004558836

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340039
  • [Journal Article] 指数型可解リー群のユニタリ表現に関連する調和解析-軌道の方法-2007

    • Author(s)
      藤原 英徳
    • Journal Title

      数学 59

      Pages: 225-242

    • NAID

      130004558836

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] Harmonic analysis related to unitary representations of exponential solvable Lie groups-orbit method-2007

    • Author(s)
      Hidenori Fujiwara
    • Journal Title

      Sugaku 59

      Pages: 225-242

    • NAID

      130004558836

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] 指数型可解リー群のユニタリ表現に関連する調和解析-軌道の方法-2007

    • Author(s)
      藤原英徳
    • Journal Title

      数学 59巻・2号

      Pages: 113-130

    • NAID

      130004558836

    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] Certaines remarques sur l'algebres des operateurs differentiels invariants pour la representation monomiale d'un groupe de Lie nilpotent2007

    • Author(s)
      Hidenori Fujiwara
    • Journal Title

      Proc. Tunisian Math. Soc. 11

      Pages: 37-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340039
  • [Journal Article] Une reciprocit de Frobenius2005

    • Author(s)
      H.Fujiwara
    • Journal Title

      Infinite Dimensional Harmonic Analysis III, World Scientific Publishing Co.

      Pages: 17-35

    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] Analysis of restrictions of unitary representations of a nilpotent Lie group2005

    • Author(s)
      A.Baklouti, H.Fujiwara, J.Ludwig
    • Journal Title

      Bull.Sci.Math. 129

      Pages: 187-209

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Analysis of restrictions of unitary representations of a nilpotent Lie group2005

    • Author(s)
      A.Baklouti, H.Fujiwara, J.Ludwig
    • Journal Title

      Bulletin des Sciences Mathematiques 129

      Pages: 187-209

    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Une reciprocite de Frobenius2005

    • Author(s)
      Hidenori Fujiwara
    • Journal Title

      Infinite Dimensional Harmonic Analysis III

      Pages: 17-35

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] Commutativite des operateurs differentiels sur l'espace des representations restreintes d'un groupe de Lie nilpotent2004

    • Author(s)
      A.Baklouti, H.Fujiwara
    • Journal Title

      J.Math.Pures Appl. 83

      Pages: 137-161

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Commutativite des operateurs differentiels sur l'espace des representations restreintes d'un groupe de Lie nilpotent2004

    • Author(s)
      A.Baklouti et H.Fujiwara
    • Journal Title

      J.Math.Pures Appl. 83

      Pages: 137-161

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Certaines remarques sur l'algebre des opperateurs differentiels invariants pour la representation monomiale2004

    • Author(s)
      H.Fujiwara
    • Journal Title

      African Journal of Mathematics 12

      Pages: 78-94

    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] A commutativity criterion for the algebra of invariant differential operators on nilpotent homogeneous spaces2003

    • Author(s)
      H.Fujiwara, G.Lion, B.Magneron, S.Mehdi
    • Journal Title

      Math.Ann. 327

      Pages: 513-544

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] A commutativity criterion for the algebra of invariant differential operators on nilpotent homogeneous spaces2003

    • Author(s)
      H.Fujiwara, G.Lion, B.Magneron et S.Mehdi
    • Journal Title

      Math.Ann. 327

      Pages: 513-544

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Operateurs differentiels associes a certaines representations unitaires d'un groupe de Lie resoluble exponentiel2003

    • Author(s)
      A.Baklouti et H.Fujiwara
    • Journal Title

      Compositio Math. 139

      Pages: 29-65

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Operateurs differentiels associes a certaines representations unitaires d'un groupe de Lie resoluble exponentiel2003

    • Author(s)
      A.Baklouti, H.Fujiwara
    • Journal Title

      Compositio Math. 139

      Pages: 29-65

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Sur la conjecture polynomiale

    • Author(s)
      H.Fujiwara, G.Lion
    • Journal Title

      (in preparation)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Harmonic analysis related to unitary representations of exponential solvable Lie groups-orbit method-

    • Author(s)
      Hidenori Fujiwara
    • Journal Title

      in Sugaku Translation, AMS (to appear)

    • NAID

      130004558836

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Journal Article] Certaines remarques sur l'algebre des operateurs differentiels invariants pour la representation monomiale d'un groupe de Lie nilpotent

    • Author(s)
      H.Fujiwara
    • Journal Title

      African J.Math. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Journal Article] Certaines remarques sur l'algebra des operateurs differentiels invariants pour la representation monomiale d'un groupe de Lie nilpotent

    • Author(s)
      H.Fujiwara
    • Journal Title

      in African J.Math. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540194
  • [Presentation] On polynomial conjectures2010

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Workshop Analysis, Geometry and Group Representations for Homogeneous Spaces
    • Place of Presentation
      Leiden (オランダ)
    • Year and Date
      2010-11-24
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Presentation] Monomial representations with multiplicities of discrete type2009

    • Author(s)
      H.Fujiwara
    • Organizer
      日本・チュニジア研究集会
    • Place of Presentation
      Sfax
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Presentation] Monomial representations with multiplicities of discrete type2009

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Conference "Geometric and Harmonic Analysis on Homogeneous Spaces"
    • Place of Presentation
      Sfax (Tunisia)
    • Year and Date
      2009-11-03
    • Data Source
      KAKENHI-PROJECT-18340039
  • [Presentation] Monomial representations with multiplicities of Discrete type2009

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Geometric and Harmonic Analysis on Homogeneous Spaces
    • Place of Presentation
      チュニジア、スファックス
    • Year and Date
      2009-11-03
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Presentation] Monomial representations of exponential solvable Lie groups2008

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Analyse harmonique, alg bresd'op rateurs et repr sentations
    • Place of Presentation
      マルセイユ
    • Year and Date
      2008-11-04
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Presentation] Monomial representations of exponential solvable Lie groups2008

    • Author(s)
      H.Fujiwara
    • Organizer
      CIRM
    • Place of Presentation
      Marseille
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Presentation] Monomial representations of exponential solvable Lie Groups2008

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Conference "Harmonic Analysis, Operator Algebras and Representations"
    • Place of Presentation
      Luminy (France)
    • Year and Date
      2008-11-04
    • Data Source
      KAKENHI-PROJECT-18340039
  • [Presentation] On polynomial conjectures2008

    • Author(s)
      H.Fujiwara
    • Organizer
      Workshop Analysis, Geometry and Group Representations for Homogeneous Spaces
    • Place of Presentation
      Leiden
    • Data Source
      KAKENHI-PROJECT-20540194
  • [Presentation] Intertwining integral for exponential groups2007

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Infinite-Dimensional Harmonic Analysis
    • Place of Presentation
      Tokyo University
    • Year and Date
      2007-09-11
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Presentation] Intertwinling integral for exponential groups2007

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Infinite-Dimensional Harmonic Analysis
    • Place of Presentation
      東京大学
    • Year and Date
      2007-09-11
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Presentation] Intertwining integral for exponential groups2007

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Infinite-Dimensional Harmonic Analysis
    • Place of Presentation
      東京大学
    • Year and Date
      2007-09-11
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Presentation] Unitary representations on nilpotent Lie groups2006

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Annual meeting of Japan Mathematical Society
    • Place of Presentation
      Chuo University(Analysis Prize memorial talk)
    • Year and Date
      2006-03-28
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Presentation] 巾零リー群のユニタリ表現(解析学賞受賞記念講演)2006

    • Author(s)
      藤原 英徳
    • Organizer
      日本数学会年会
    • Place of Presentation
      中央大学
    • Year and Date
      2006-03-28
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Presentation] 可解リー群のユニタリ表現に関する幾つかの話題2005

    • Author(s)
      藤原 英徳
    • Organizer
      表現論シンポジウム
    • Place of Presentation
      静岡県掛川市
    • Year and Date
      2005-11-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • [Presentation] Some topics on unitary representations of solvable Lie groups2005

    • Author(s)
      Hidenori Fujiwara
    • Organizer
      Symposium on Representation Theory
    • Place of Presentation
      Kakegawa
    • Year and Date
      2005-11-18
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540180
  • 1.  KOMASTU Hikosaburo (40011473)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  NOMURA Takaaki (30135511)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  WAKAYAMA Masato (40201149)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  UMEDA Toru (00176728)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  ITOH Minoru (60381141)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  ISHI Hideyuki (00326068)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  KAI Chifune (70506815)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  OKAYASU Takateru (60005775)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  NISHISHIRAHO Toshihiko (70044956)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  OHYA Masanori (90112896)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  SAITO Kichisuke (30018949)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  HIRAI Takeshi (70025310)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  TAKEMOTO Hideo (00004408)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  MINEMURA Katsuhiro (20060684)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  OHARU Shinnosuke (40063721)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  MIYACHI Akihiko (60107696)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  TSUKADA Haruo (00257990)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  KANEMITSU Shigeru (60117091)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  小林 俊行 (80201490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  伊藤 清三 (40011423)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  三鳥川 寿一 (80055318)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  井上 淳 (50078557)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  吉野 崇 (50005774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  ALI Baklouti
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  JEAN Ludwig
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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