KUMAHARA Keisaku 熊原啓作

Researcher Number	60029486
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Affiliation (based on the past Project Information) *help	2003 – 2005: The University of the Air, Fac.of Liberal Arts, Professor, 教養学部, 教授 2002 – 2003: 放送大学, 教授 1998 – 2000: 放送大学, 教養学部, 教授 1995 – 1996: 鳥取大学, 工学部, 教授 1986 – 1994: Tottori Univ., College of Gen. Ed. ・Professor, 教養部, 教授 1986: 鳥取大, 教養部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis Except Principal Investigator 解析学 / Algebra / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator ラドン変換 / Riemannian symmetric space / Fourier transform / リーマン対称空間 / フーリエ変換 / 不確定性原理 / 半単純リー群 / complex semisimple Lie group / Fourier-Jacobi series / reconstruction theorem … More / Radon transform / sampling theorem / homogeneous space / ハリシュ・チャンドラのc関数 / 実双曲空間 / フーリエ・ヘルガソン変換 / リーマン対称空関 / ユニタリ群 / リー群 / 対称空間 / ペセンソンのサンプリング公式 / フーリエ・ヤコビ変換 / 複素半単純リー群 / フーリエ・ヤコビ級数 / 再構成定理 / サンプリング定理 / 等質空間 / semisimple Lie group / motion group / Cartan motion group / Cowling-Price theorem / Hardy theorem / uncertainty principle / L^p版ハーディの定理 / Fourier変換 / ウェーブレット / Hardyの定理 / ヘルガソン・フーリエ変換 / カウリング・プライスの定理 / 運動群 / カルタン運動群 / カウリング・プリスの定理 / ハーディの定理 / intertwing作用素 / 【L^P】フーリエ解析 / 一様有界表現 / 球関数 / 標本化定理 / 量子群 / q類似微分作用素 / エ-タ不変量 / セルバ-グのゼ-タ関数 / ラドン逆変換 / ロ-レンツ空間 / 擬ユ-クリッド空間 … More Except Principal Investigator 調和解析 / 無限小 / 超関数 / 超実数 / 作用素環 / 量子群 / 超準解析 / 分布 / 一般関数 / 超フィルタ- / 超積 / Representation theory / Harmonic analysis / Operator / Operator algebras / Function spaces / Real analysis / Functional analysis / 偏微分方程式 / 表現論 / 作用素 / 函数空間 / 実解析 / 函数解析 / harmonic analysis / function spaces / operator algebra / pseudo-differential operators / nonlinear partial differential equations / 対称空間上のフーリェ変換 / Banach空間での抽象的方程式 / Banach函数環 / 擬微分作用素の有界性 / 非線型偏微分方程式 / Solvable Lattice Model / Hopf algebra / Lie algebra / Conformal Field Theory / Elliptic Function / Quantum Group / アフィンLie環 / Lie環 / 頂点作用素 / 表現 / 可解格子模型 / ホップ代数 / リー代数 / 共形場理論 / 楕円関数 / 荷重ノルム不等式 / Hardy-Littlewoodの定理 / マルチンゲール / geometric invariant theory / 二木不変量 / 一般化されたカラビ予想 / ヤンミルズ場 / モジュライ空間 / モンジュ=アンペール方程式 / ファノ多様体 / アインシュタイン=ケーラー計量 / 曲率演算 / 曲率構造 / 曲率 / Fourier変換 / Poisson核 / デルタ関数 / 無限大 / formal power series / quantum / differential equation / algebraic manifold / number theory / trans cendence / G-function / hyper geometric / 量子等質空間 / パフィアン / ラドン変換 / 定数係数微分作用素 / q-conformally flat / q-constant / q-flat / 2次超曲面 / 超凖解析 Less

Harmonic Analysis Homogeneous Spaces and its ApplicationsPrincipal Investigator
- Principal Investigator
  
  KUMAHARA Keisaku
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of the Air
Representation Theory of Elliptic Quantum Groups and the Elliptic q-KZB Equation
- Principal Investigator
  
  EGUCHI Masaaki
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  HIROSHIMA UNIVERSITY
Harmonic Analysis on Homogeneous Spaces and its ApplicationsPrincipal Investigator
- Principal Investigator
  
  KUMAHARA Keisaku
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of the Air
関数解析の超準解析的研究
- Principal Investigator
  
  栗林幸男
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
対称空間上の調和解析とその応用の研究Principal Investigator
- Principal Investigator
  
  熊原啓作
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
G-関数の多面的研究
- Principal Investigator
  
  原瀬巍
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tottori University
量子群対称性に基づく調和解析とその応用に関する研究
- Principal Investigator
  
  若山正人
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
リーマン空間の2重微分形式の研究
- Principal Investigator
  
  小島政利
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tottori University
関数解析の超準解析的研究
- Principal Investigator
  
  栗林幸男
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
擬リ-マン空間上の大域解析学Principal Investigator
- Principal Investigator
  
  熊原啓作
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
関数解析の超凖解析的研究
- Principal Investigator
  
  栗林幸男
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
リーマン空間の曲率構造と曲率演算について
- Principal Investigator
  
  小島政利, 満渕俊樹
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tottori University
  Osaka University
確率過程の調和解析的研究
- Principal Investigator
  
  和泉澤正隆
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tottori University
Cooperative Researches on the Applications of Functional Analysis and Real Analysis
- Principal Investigator
  
  ANDO Tsuyoshi
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
半単純リー群上のフーリエ変換の研究Principal Investigator
- Principal Investigator
  
  熊原啓作
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
Research on Applications of Real and Functional Analysis
- Principal Investigator
  
  MURAMATU Tosinobu
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  University of TSUKUBA

All 2006 2005 2004

All Journal Article Book

[Book] Calclus for the Beginners2006
- Author(s)
  Keisaku Kumahara, et al.
- Total Pages
  231
- Publisher
  Housoudaigaku Kyouiku Shinkokai
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Book] 初歩からの積分2006
- Author(s)
  熊原啓作
- Total Pages
  231
- Publisher
  放送大学教育振興会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Book] 初歩からの微積分2006
- Author(s)
  熊原啓作, 押川元重
- Total Pages
  231
- Publisher
  放送大学教育振興会
- Data Source
  KAKENHI-PROJECT-15540182
[Book] Mathematical System Theory (Revised Edition)2005
- Author(s)
  Keisaku Kumahara, et al.
- Total Pages
  338
- Publisher
  Housoudaigaku Kyouiku Shinkokai
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Book] 改訂版数理システム科学2005
- Author(s)
  熊原啓作, 砂田利一
- Total Pages
  338
- Publisher
  放送大学教育振興会
- Data Source
  KAKENHI-PROJECT-15540182
[Book] 改訂版数理システム科学2005
- Author(s)
  熊原啓作
- Total Pages
  338
- Publisher
  放送大学教育振興会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Book] 複素数と関数2004
- Author(s)
  熊原啓作
- Total Pages
  287
- Publisher
  放送大学教育振興会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Book] Complex Numbers and Functions2004
- Author(s)
  Keisaku Kumahara
- Total Pages
  287
- Publisher
  Housoudaigaku Kyouiku Shinkokai
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] Analogues of sampling theorems for some homogeneous space2006
- Author(s)
  M.Ebata, M.Eguci, S.Koizumi, K.Kumahara
- Journal Title
  
  Hiroshima Mathematical Journal 36-1
  
  Pages: 125-140
- NAID
  110004455839
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] A Sampling theorem on symmetric spaces2006
- Author(s)
  M.Ebata, M.Eguchi, S.Koizumi, K.Kumahara
- Journal Title
  
  Journal of Fourier Analysis and Applications (Online First:http://dx.doi.org/10.1007/s00041-005-4014-0)
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] 等質空間上のフーリエ変換不確定性原理を巡って2005
- Author(s)
  熊原啓作
- Journal Title
  
  津田塾大学数学・計算機科学研究所報 26
  
  Pages: 203-221
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] 等質空間上のフーリエ変換-不確定性原理を巡って-2005
- Author(s)
  熊原啓作
- Journal Title
  
  津田塾大学数学・計算機科学研究所報 26
  
  Pages: 203-221
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] Fourier transforms on homoge neous spaces - Uncertainty Principle - (Japanese)2005
- Author(s)
  Keisaku Kumahara
- Journal Title
  
  Bulletin of the Institute Mathematics and Computer Science, Tsuda College 26
  
  Pages: 203-221
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] Radon transforms and sampling theorems2004
- Author(s)
  Keisaku Kumahara
- Journal Title
  
  表現論シンポジウムSymposium on Representation Theory 報告集 2004
  
  Pages: 141-149
- NAID
  130008004841
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] Radon transforms and sampling theorem2004
- Author(s)
  Keisaku Kumahara
- Journal Title
  
  Proceedings of the Symposium on Representation Theory 2004
  
  Pages: 141-149
- NAID
  130008004841
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540182
[Journal Article] Radon transforms and sampling theorems2004
- Author(s)
  Keisaku Kumahara
- Journal Title
  
  Symposium on Representation Thory 2004
  
  Pages: 141-149
- NAID
  130008004841
- Data Source
  KAKENHI-PROJECT-15540182

1. 小島政利 (90032317)

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2. 栗林幸男 (30031909)

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3. 下村克巳 (30206247)

# of Collaborated Projects: 7 results

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4. 和泉澤正隆 (50108445)

# of Collaborated Projects: 5 results

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5. 赤井逸 (70032274)

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6. 若山正人 (40201149)

# of Collaborated Projects: 4 results

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7. HASHIMOTO Takashi (90263491)

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8. 石川雅雄 (40243373)

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9. 原瀬巍 (90016056)

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10. 松木敏彦 (20157283)

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11. MURAMATU Tosinobu (60027365)

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12. SAKA Koichi (20006597)

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13. KOSHI Shozo (40032792)

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14. CHODA Hisashi (00030338)

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15. 後藤和雄 (00140533)

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16. 森川幾太郎 (20166391)

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17. EGUCHI Masaaki (30037220)

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18. TAKEBE Takashi (60240727)

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19. JIMBO Michio (80109082)

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20. KONNO Hitoshi (00291477)

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21. MORITA Yoshiyuki (20243545)

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22. KOIZUMI Shin (90205310)

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23. ANDO Tsuyoshi (10001679)

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24. SHINYA Hitoshi (70036416)

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25. SAKAI Shoichiro (30130503)

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26. OHYA Masanori (90112896)

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27. 原瀬巍 (80031920)

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28. 満渕俊樹 (80116102)

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31. 今吉洋一 (30091656)

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32. 榎一郎 (20146806)

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33. 竹内勝 (70028116)

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34. 太田泰広 (10213745)

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KUMAHARA Keisaku 熊原 啓作

Research Projects

Research Products

Co-Researchers

Harmonic Analysis Homogeneous Spaces and its ApplicationsPrincipal Investigator

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Harmonic Analysis on Homogeneous Spaces and its ApplicationsPrincipal Investigator

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対称空間上の調和解析とその応用の研究Principal Investigator

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擬リ-マン空間上の大域解析学Principal Investigator

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半単純リー群上のフーリエ変換の研究Principal Investigator

Principal Investigator

KUMAHARA Keisaku 熊原啓作

[Book] 改訂版数理システム科学2005

[Book] 改訂版数理システム科学2005