Shimeno Nobukazu 示野信一

… Alternative Names

SHIMENO Nobukazu 示野信一

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Researcher Number	60254140
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Affiliation (Current)	2025: 関西学院大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2012 – 2013: 関西学院大学, 理工学部, 教授 2009: 関西学院大学, 理工学部, 教授 2006 – 2009: Okayama University of Science, Department of Applied Mathematics, Associate Professor, 理学部, 准教授 2000 – 2005: OKAYAMA UNIVERSITY OF SCIENCE, ASSISTANT PROFESSOR, 理学部, 助教授 2003: 岡山理科大学, 応用数学科, 助教授 1996 – 2001: 岡山理科大学, 理学部, 講師 1995: 東京都立大学, 理学部, 助手
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Global analysis Except Principal Investigator Basic analysis / Basic analysis / 解析学 / Algebra / Global analysis
Keywords	Principal Investigator 対称空間 / 調和解析 / 不確性原理 / Fourier解析 / 特殊関数 / 不確定性原理 / ルート系 / 表現 / 微分方程式 / 起幾何関数 … More / 球関数 / シロフ境界 / ポアソン変換 / 表現論 / 等質直線束 … More Except Principal Investigator 離散群 / Heisenberg translation / 基本領域 / 複素双曲空間 / スペクトル / 安定性 / 関数微分方程式 / 半単純リー群 / 等質空間 / 表現論 / 超幾何関数 / Phase space / 概周期解 / 解作用素 / 相空間 / 定数変化法の公式 / ISOMETRIC SPHERE / DISCRETE GROUP / COMPLEX HYPERBOLIC SPACE / isometric sphere / Kazhdan-Lusztig / 完全積分可能系 / 接続係数 / モノドロミー / 積分微分方程式 / ボルテラ差分方程式 / 漸近挙動 / テータ対応 / ヴェイユ表現 / Asymptotic behavior / Variation-of-constans formula / Solution operators / Almost periodic solutions / Stabilities / Functional Difference Equations / Functional Differential Equations / 関数差分方程式 / SHIMIZU'S LEMMA / JORGENSEN'S INEQUALITY / FUNDAMENTAL DOMAIN / HEISENBERG TRANSLATION / UNITARY GROUP PU(1,n;C) / Dirichlet領域 / ユニタリ群PU(1,n ; C) / isometric spheres / 清水の補題 / Jorgensenの不等式 / ユニタリ群PU(1,n;C) / Fundamental region / Discrete group / Unitary group / boundary elliptic / loxodromic / Heisenberg translertion / ユニタリ群 / Stability property / Quasi-process / Solution operator / Variation-of-constants formula / Admissibility / Fading memory space / Functional differential equations / 遅れ時間 / 差分方程式 / プロセス / 極限方程式 / 関数微分方程 / 線形化原理 / 準プロセス / 許容性 / 記憶が薄れる空間 / DIRICHLET POLYHEDRON / FORD REGION / PU(1, n ; C) / PU(I,n;¢) / PU(1,n;C) / Dirichlet polyhedron / Ford domain / PU(l,n,c) / prehomogeneous / associated variety / nilpotent orbit / theta correspondence / degree / highest weight / semisimple / 保型形式 / ガンマ因子 / Kazhdan-Lusztig予想 / Selberg 積分 / ベキ零軌道 / 重複度自由 / Giambelliの公式 / 最高ウエイト表現 / 半単純リー郡 / 概均質ベクトル空間 / 随伴多様体 / べき零軌道 / データ対応 / 次数 / 最高ウェイト表現 / hypergeometric function / semisimple Lie group / Poisson transform / integrable system / spherical function / invariant differential equations / representation theory / homogenneous space / 対称空間 / 超幾何微分方程式 / 不変微分作用素 / 超幾何函数 / ポアソン変換 / 可積分系 / 球函数 / 不変微分方程式 / 微分方程式 / 解析学 / middle convolution / rigid局所系 / 超曲面 / アクセサリー・パラメーター / 複素領域における微分方程式 / 大域解析 / 特殊関数 / 確定特異点 / ルート系 / 積分幾何 / 多国籍 / 国際研究者交流 / Kac-Moodyルート系 / 常微分方程式 / 代数解析 / regular elliptic / complex hyperbolic triangle group / PU(1,2;C) / 複素双曲空問 / スポクトル / 特性方程式 / 正の方程式 / 関数方程式 / 不変量 / 等方表現 / Whittakerベクトル / 離散系列表現 / 離散系列 / 表現の分岐 / 双対性 / 実調和解析 / 一般Whittaker模型 / 調和解析 / 微分作用素環 / 微分方程式系 / 旗多様体 / Whittaker模型 / Howe双対性 / 幾何学的不変量 / 冪零軌道 / ユニタリ表現 / 超幾何 / 例外型リー環 / 軌道分解 / 巾零軌道 / プランシェレル公式 / 簡約群 / 単因子 / 原始イデアル / Capelli恒等式 / 退化系列表現 / グラスマン多様体 / ラドン変換 / 二乗可積分表現 / 連続ウエイブレット変換 / 位相群 / シャノン型ウエイブレット / ウエイブレット / 二重可積分表現 / 連続ウェイブレット変換 / 格子と自己同型 / シャノン型ウェイブレット / 局所コンパクトアーベル群 / ウェイブレット / 多重解像度解析 / 偏屈層 / トーリック多様体 / 凸多面体 / A超幾何系 / 同変D加群 / 組み合せ表現論 / 超幾何系 / 環 Less

Rigidity and prolongability of differential equations and the study of global structure
- Principal Investigator
  
  HARAOKA Yoshishige
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kumamoto University
Study of group representation and differential equations associated with root systems and its applications
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Study of stability properties for positive linear equations with delay and related topics
- Principal Investigator
  
  MURAKAMI Satoru
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University of Science
Study on discrete subgroups of PU(1,2;C) acting on complex hyperbolic 2-space
- Principal Investigator
  
  KAMIYA Shigeyasu
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University of Science
Modern study on homogeneous spaces and unitary representations via duality
- Principal Investigator
  
  YAMASHITA Hiroshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Formal adjoint equation for equations with time delay and its applications
- Principal Investigator
  
  MURAKAMI Satoru
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University of Science
等質空間のプランシェレル公式
- Principal Investigator
  
  OCHIAI Hiroyuki
- Project Period (FY)
  2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
STUDY ON CONDITIONS FOR A SUBGROUP OF PU(1,n ; C) ACTING ON COMPLEX HYPERBOLIC SPACE TO BE DISCRETE
- Principal Investigator
  
  KAMIYA Shigeyasu
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY OF SCIENCE
A representation formula for solutions of equations with delay in the phase space and its applications
- Principal Investigator
  
  MURAKAMI Satoru
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University of Science
Study on Fundamental Regions for Discrete Subgroups of PU(1,n;C)
- Principal Investigator
  
  KAMIYA Shigeyasu
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University of Science
ルート系に付随した特殊関数の研究Principal Investigator
- Principal Investigator
  
  示野信一
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University of Science
対称空間上の微分方程式系の研究Principal Investigator
- Principal Investigator
  
  示野信一
- Project Period (FY)
  1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Okayama University of Science
リー群の表現の退化と超幾何関数の一般化
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Geometric Representation theory of reductive group
- Principal Investigator
  
  OCHIAI Hiroyuki
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
  Kyushu University
STUDY ON DISCRETE SUBGROUPS OF PU(1, n ; C)
- Principal Investigator
  
  KAMIYA Shigeyasu
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY OF SCIENCE
組み合せ表現論と環論的超幾何関数論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Okayama University of Science
等質空間上のウェイブレットの構成
- Principal Investigator
  
  橋爪道彦
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Okayama University of Science
Differential equations on homogeneous spaces
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tokyo
対称空間の種々の境界に対する境界値問題Principal Investigator
- Principal Investigator
  
  示野信一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University of Science
対称空間上の等質直線束上の調和解析Principal Investigator
- Principal Investigator
  
  示野信一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University

All 2011 2010

All Journal Article

[Journal Article] Boundary value problems on Riemannian symmetric spaces of the noncompact Type2011
- Author(s)
  T.Oshima, N.Shimeno
- Journal Title
  
  UTMS 2011-4
  
  Pages: 1-26
- Data Source
  KAKENHI-PROJECT-20244008
[Journal Article] Boundary value problems on Riemannian symmetric spaces of the noncompact Type2011
- Author(s)
  T.Oshima, N.Shimeno
- Journal Title
  
  UTMS
  
  Volume: 2011-4 Pages: 1-26
- Data Source
  KAKENHI-PROJECT-20244008
[Journal Article] Heckman-Opdam hypergeometric functions and their specializations2010
- Author(s)
  Toshio Oshima and Nobukazu Shimeno
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B20 Pages: 129-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340038
[Journal Article] Heckman-Opdam hypergeometric functions and their specializations2010
- Author(s)
  T.Oshima, N.Shimeno
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B20 Pages: 129-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244008
[Journal Article] Heckman-0pdam hypergeometric functions and their specializations2010
- Author(s)
  T.Oshima, N.Shimeno
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Pages: 129-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244008
[Journal Article] Heckman-Opdam hypergeometric functions and their specializations2010
- Author(s)
  Toshio Oshima and Nobukazu Shimeno
- Journal Title
  
  RIMS Kokyuroku Bessatsu B
  
  Volume: 20 Pages: 129-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244008

1. MURAKAMI Satoru (40123963)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. KAMIYA Shigeyasu (80122381)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. OSHIMA Toshio (50011721)

# of Collaborated Projects: 5 results

# of Collaborated Products: 6 results
4. TAKENAKA Shigeo (80022680)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. MATUMOTO Hisayosi (50272597)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. OCHIAI Hiroyuki (90214163)

# of Collaborated Projects: 4 results

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7. HAMAYA Yoshihiro (40228549)

# of Collaborated Projects: 3 results

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8. KOBAYASHI Toshiyuki (80201490)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. ODA Takayuki (10109415)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. KURIBAYASHI Katsuhiko (40249751)

# of Collaborated Projects: 2 results

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11. YOSHIDA Kenichi (60028264)

# of Collaborated Projects: 2 results

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12. NISHIYAMA Kyo (70183085)

# of Collaborated Projects: 2 results

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13. SEKIGUCHI Jiro (30117717)

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14. NAGABUCHI Yutaka (60252607)

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15. TANAKA Satoshi (90331959)

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16. TERADA Itaru (70180081)

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17. YAMASHITA Hiroshi (30192793)

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18. YOSHIDA Tomoyuki (30002265)

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19. YAMAGUCHI Keizo (00113639)

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20. SAITO Mutsumi (70215565)

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21. SHIBUKAWA Youichi (90241299)

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22. TACHIZAWA Kazuya (80227090)

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23. KAWAZOE Takeshi (90152959)

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24. TANIGUCHI Kenji (20306492)

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25. WACHI Akihito (30337018)

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26. MATSUKI Toshihiko (20157283)

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27. ISHI Hideyuki (00326068)

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28. MORITA Hideaki (90435412)

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29. HIRAI Takeshi (70025310)

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30. YAMASAKI Masayuki (70174646)

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31. SEKIGUCHI Hideko (50281134)

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32. HARAOKA Yoshishige (30208665)

# of Collaborated Projects: 1 results

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33. YOKOYAMA Toshiaki (30210636)

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34. KATO Mitsuo (50045043)

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35. TANABE Susumu (90432997)

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36. KIMURA Hironobu (40161575)

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37. SADAHIRO Taizo (00280454)

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38. MIMACHI Katsuhisa (40211594)

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39. KATO Fumiharu (50294880)

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40. KANEKO Masanobu (70202017)

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41. WAKIMOTO Minoru (00028218)

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42. KONNO Takuya (00274431)

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43. 堀田良之 (70028190)

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44. 玉村章枝 (70068914)

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45. 永田雅宜 (00025230)

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46. 橋爪道彦 (50033890)

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47. 澤江隆一 (20226062)

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48. 須藤清一 (50196903)

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49. 岡田総一 (20224016)

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50. 村田實 (50087079)

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51. 村上斉 (70192771)

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52. 中村忠 (20069074)

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53. 渡辺寿夫 (40037677)

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Shimeno Nobukazu 示野 信一

SHIMENO Nobukazu 示野 信一

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ルート系に付随した特殊関数の研究Principal Investigator

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対称空間上の微分方程式系の研究Principal Investigator

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Shimeno Nobukazu 示野信一

SHIMENO Nobukazu 示野信一