ARAI Masaharu 荒井正治

… Alternative Names

荒井正治アライマサハル

ARAI Masharu 荒井正治

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Researcher Number	20066715
Other IDs
Affiliation (based on the past Project Information) *help	2009: 立命館大学, 理工学部, 教授 2006 – 2007: 立命館大学, 理工学部, 教授 2000 – 2003: 立命館大学, 理工学部, 教授 1995 – 1998: 立命館大学, 理工学部, 教授 1989 – 1993: 立命館大学, 理工学部, 教授 1988: 立命館大学, 経済学部, 教授
Review Section/Research Field	Principal Investigator 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Global analysis / Algebra / Basic analysis / Business administration / Basic analysis / Geometry / 代数学・幾何学
Keywords	Principal Investigator Schrodinger operator / Nyquist rate / sampling / eigenvalue / spectrum / Differential equation / magnetic field / positive eigenvalue / essential spectrum / eigenfnchtion … More Except Principal Investigator … More スペクトル / ディラック作用素 / 確率解析 / 局所時間 / Hilbert cusp forms / spectrum / unique continuation property / Dirac operator / 固有値 / 一意接続定理 / 相対論的量子力学 / 確率微分方程式 / Van Vleckの公式 / Wiener積分 / Radon変換 / シュレーディンガー作用素 / L関数 / 保型形式 / magnetic field / eigenvalue / Schroedinger operator / 磁場 / L-function / Automorphic forms / Hibert cusp forms / essentially self-adjoint / self-adjoint operator / relativistic quantum mechanics / 連続スペクトル / Dirac作用素 / 相対性量子力学 / 本質的自己共役 / 自己共役作用素 / 資本市場 / 企業金融 / 金融市場 / マクロ経済 / 株価 / ファイナンス / 学際的な研究教育 / 文理総合 / 証券アナリスト / データベース / 財務分析 / 財務戦略 / 金融システム / 金融市場分析 / Selberg trance formula / local time / Jacobi field / Van Vleck formula / path integral / Wiener integral / stochastic analysis / Wiener測度 / Selbergの跡公式 / Jacobi場 / 経路積分 / 概周期関数 / 滞在時間の極限定理 / Brown運動 / Kerr-Newnan距離 / 局所エネルギー減衰 / 固有関数 / 局所エネルギー / ブラックホール / スペクトル集中 / レゾナンス / 相対性理論 / ブラック・ホール / 非相対論的極限 / Kerr-Newman距離 / 固有値問題 / スペクトル理論 / ディラック方程式 / Hilbert変換 / 磁場を持つSchrodinger作用素 / 漸近理論 / Malliavin解析 / 合成積型変換 / 加法的汎関数 / エネルギー零 / Q-射影変換 / Q-断面曲率 / 四元数ケーラー多様体 / 散乱理論 / Hecke作用素 / 関数等式 / 整数論 / ア-ベル総和法 / 零点 / 数値解析 / jー代数 / ケ-ラ-代数 / ケ-ラ-計量 / 複素多様体 / 等質空間 / quasi-bounded / 球関数 / バナッハ空間 / 位相的既約表現 / 局所コンパクト群 / 保型形式のプリエ係数 / 志村理論 / ゼ-タ関数の零点 / 微分作用素の固有値 / ゼ-タ関数 / 保型形式の数論的研究 Less

A study on the spectrum of Dirac operators
- Principal Investigator
  
  YAMADA Osanobu
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
Research on Spectral Theory of Dirac operators
- Principal Investigator
  
  YAMADA Osanobu
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ritsumeikan University
The special values of the L function associated with automorphic forms
- Principal Investigator
  
  ISHII Hidenori
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ritsumeikan University
Study on the spectrum of Dirac Oparators
- Principal Investigator
  
  YAMADA Osanobu
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
現代日本における金融システムの転換と革新的経営財務戦略の研究
- Principal Investigator
  
  松村勝弘
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Business administration
- Research Institution
  Ritsumeikan University
Stochastic Analysis and Asymptotics
- Principal Investigator
  
  IKEDA Nobuyuki
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ritsumeikan University
確率解析と関連の諸問題
- Principal Investigator
  
  IKEDA Nobuyuki
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ritsumeikan University
偏微分作業のスペクトルの構造Principal Investigator
- Principal Investigator
  
  荒井正治
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ritsumeikan University
局所時間の確率解析
- Principal Investigator
  
  山田俊雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ritsumeikan University
接続とリーマン計量の研究
- Principal Investigator
  
  藤村茂芳
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ritsumeikan University
Dirichlet Processの確率解析
- Principal Investigator
  
  山田俊雄
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ritsumeikan University
シュレーディンガー作用素のスペクトルの研究
- Principal Investigator
  
  山田修宣
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ritsumeikan University
不変微分作用素と整数論
- Principal Investigator
  
  石井秀則
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Ritsumeikan University
偏微分作用素のスペクトルの構造Principal Investigator
- Principal Investigator
  
  荒井正治
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ritsumeikan University
等質複素多様体の研究
- Principal Investigator
  
  中島和文
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Ritsumeikan University
保型形式と整数論
- Principal Investigator
  
  土井公二
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Ritsumeikan University
調和解析とその応用
- Principal Investigator
  
  新屋均
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ritsumeikan University
確率微分方程式の研究
- Principal Investigator
  
  山田俊雄
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ritsumeikan University

All 2009 2006

All Journal Article Book

[Book] 理工系微分積分学2006
- Author(s)
  荒井正治
- Total Pages
  251
- Publisher
  学術図書出版
- Data Source
  KAKENHI-PROJECT-18540196
[Book] 理工系微分積分学2006
- Author(s)
  荒井正治
- Total Pages
  251
- Publisher
  学術図書
- Data Source
  KAKENHI-PROJECT-18540196
[Book] 理工系微分積分学2006
- Author(s)
  荒井正治
- Total Pages
  251
- Publisher
  学術図書出版
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] The best constant of Sobolev inequality which corresponds to Schroedinger operator with Dirac delta potential2009
- Author(s)
  Y. Kametaka, H. Yamagishi, H. Watanabe, A. Nagai, K. Takemura, M. Arai
- Journal Title
  
  Sci. Math. Jpn 69
  
  Pages: 211-225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] On solutions of Wilson's functional equation on $R^2$2006
- Author(s)
  M. Arai, H. Shin'ya, H.
- Journal Title
  
  Mem. Inst. Sci. Engrg. Ritsumeikan Univ. 65
  
  Pages: 41-49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] On solutions of Wilson's functional equations, Memoirs Inst.Sci.Engi.2006
- Author(s)
  M. Arai and Shin' ya
- Journal Title
  
  Ritsumeikan Univ. 66
  
  Pages: 41-49
- Data Source
  KAKENHI-PROJECT-18540196

1. YAMADA Osanobu (70066744)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. YAMADA Toshio (10037749)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
3. 土井公二 (20025290)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
4. SHI'NYA Hitoshi (70036416)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
5. ISHII Hidenori (60159671)

# of Collaborated Projects: 7 results

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6. NAKAJIMA Kazufumi (10025489)

# of Collaborated Projects: 7 results

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7. 藤村茂芳 (30066724)

# of Collaborated Projects: 7 results

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8. IKEDA Nobuyuki (00028078)

# of Collaborated Projects: 4 results

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9. NARUKI Isao (90027376)

# of Collaborated Projects: 4 results

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10. 中嶋史図雄 (50121611)

# of Collaborated Projects: 4 results

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11. NATSUME Toshikazu (00125890)

# of Collaborated Projects: 3 results

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12. ITO Hiroshi (90243005)

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13. OKAJI Takashi (20160426)

# of Collaborated Projects: 3 results

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14. TAKAYAMA Yukihide (20247810)

# of Collaborated Projects: 2 results

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15. OSAKA Hiroyuki (00244286)

# of Collaborated Projects: 2 results

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16. WATANABE Takuya (80458009)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
17. SATO Yousuke (50257820)

# of Collaborated Projects: 1 results

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18. KAGAWA Takaaki (90298175)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 松村勝弘 (40066733)

# of Collaborated Projects: 1 results

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20. 川越恭二 (40298724)

# of Collaborated Projects: 1 results

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21. 井澤裕司 (70222924)

# of Collaborated Projects: 1 results

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22. 平田純一 (00143818)

# of Collaborated Projects: 1 results

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23. 富田知嗣 (60264743)

# of Collaborated Projects: 1 results

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24. 澤邉紀生 (80278481)

# of Collaborated Projects: 1 results

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25. 村山嘉彦 (60298718)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 荒川宜三 (10278476)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 豊原紀彦 (50197977)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 八村廣三郎 (70124229)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ARAI Masaharu 荒井 正治

荒井 正治 アライ マサハル

ARAI Masharu 荒井 正治

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ARAI Masaharu 荒井正治

荒井正治アライマサハル

ARAI Masharu 荒井正治

[Book] 理工系微分積分学2006