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KATASE Kiyoshi  片瀬 潔

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片瀬 潔

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Researcher Number 70080489
Affiliation (based on the past Project Information) *help 1990 – 2006: Gakushuin Univ., Fac. Sci., Professor, 理学部, 教授
1988 – 1989: 学習院大学, 理学部, 助教授
1986: 学習院大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
代数学・幾何学
Except Principal Investigator
解析学 / 代数学・幾何学 / Basic analysis / Basic analysis / Algebra / Geometry
Keywords
Principal Investigator
レンズ空間 / Dedekind和 / (楕円型)境界値問題 / Schrodinger作用素 / Morse型特異点 / ηー不変量
Except Principal Investigator
量子力学 / 経路積分 / Schrodinger equation / Quantum mechanics … More / Selfajoint operator / Oscillatory integrals / Feynman path integrals / WKB法 / Feynman経路積分 / Stationary phase method / 停留位相法 / path integrals / WKB-method / Stationary phase / Schrodinger方程式 / 振動積分 / 固有値の数値計算 / Scrodinger方程式 / Feynman path integral / 代数的独立性 / 超越数 / シュレ-ディンガ-作用素 / 準古典近似 / 不定方程式 / スペクトル理論 / 極値的長さ / 高速フ-リエ変換 / Scridinger方程式 / Statuinary phase method / EKB法 / Foureir積分作用素 / 汎関数解析 / 位相停留法 / シュレーディングー方程式 / 自己共役作用素 / シュレーディレガー方程式 / precise graphic image / triply periodic minimal surface / crystallographic group / minimal surface / 精密画像 / 結晶群 / 3重周期的極小曲面 / 極小曲面 / Lie-Trotter product formula / Feynman-Kac formula / Perturbation / Schridinger方程式 / Feru man経路積分 / sfationary phare methos / path integral / Feynman 経路積分 / ハミルトニアン / stationary phrse aruthod / puth integral / Functional equations / Diophantine equations / Algebraic independence / Transcendental numbers / 関数等式 / Finite element approximation / Explicit method / Degenerate non-linear parabolic equations / Pass integral / Feynmann integral / Semi-linear elliptic boundary value problem / Spectral theory / マンデルブロ-集合 / 有限要素法近似 / 漸近解析 / 陽解法 / 有限要素近似 / 退化放物型方程式 / 準線形線形楕円形境界値問題 / ファインマン積分 / シュレ-ディンガー方程式 / Diophantine Approximation / Transcendental Numbers / パデ近似 / マ-ラ-関数 / ディオファンタス近似 / extremal length / シュレーディンガー作用素 / 人工知能言語 / 記号処理 / 代数曲線 / 代数多様体の分類 / フーリエ積分作用 / Feynman path integrate / Feynman / フーリエ積分作用素 / Schnodinger方程式 / Feynman path mlegrals / フーリェ積分作用素 / シンV-ディンガー方程式 / 汎関数 / ファインマン経路積分 / 数値計算 / シュレーディンガー方程式 / 積公式 / 逆スペクトル問題 / 共鳴レヴェル / 調和測度 / 等角容量 / 極値的距離 / ポテンシャル / ネットワ-ク / 倉持境界 / リ-マン面 / スペクトル法 / 固有関数の近似計算, / シュレ-ディンガ-方程式 / 代数多様体 / 対称微分形式 / レンズ空間 / プロログ / 散乱理論 Less
  • Research Projects

    (23 results)
  • Co-Researchers

    (16 People)
  •  Research on Functional Analysis and Mathematical theory of Feynman path integrals

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Research on Functional Analysis and Mathematical theory of Feynman path integrals.

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University.
  •  Research in Functional Analsys and Mathematical theory of Feynman path integrals

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Research in Functional Analsys and Mathematical theory of Feynman path integrals.

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Research in Functional Analsys.

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Department of Mathematics, Faculty of Sciences, Gakushuin University
  •  Precise Graphic Images of Minimal Surfaces Using Computer

    • Principal Investigator
      KAWASAKI Tetsuro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Gakushuin University
  •  汎関数解析

    • Principal Investigator
      藤原 大輔
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  Algebraic and Analytic Research of Transcendental Numbers

    • Principal Investigator
      IITAKA Shigeru, 三井 孝美
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  汎関数解析

    • Principal Investigator
      藤原 大輔
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  Functional Analysis and Partial Differential Equations

    • Principal Investigator
      KURODA Shigetoshi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University, Faculty of Science
  •  汎関数解析

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  超越数の代数的・解析的研究

    • Principal Investigator
      三井 孝美
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  微分可能多様体の研究Principal Investigator

    • Principal Investigator
      片瀬 潔
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Gakushuin University
  •  関数解析・偏微分方程式の研究

    • Principal Investigator
      黒田 成俊
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  微分可能多様体の研究Principal Investigator

    • Principal Investigator
      片瀬 潔
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Gakushuin University
  •  解析多様体の研究

    • Principal Investigator
      大津賀 信
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  代数多様体の総合的研究

    • Principal Investigator
      飯高 茂
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Gakushuin University
  •  解析多様体の研究

    • Principal Investigator
      大津賀 信
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  関数解析・偏微分方程式の研究

    • Principal Investigator
      KURODA Shigetoshi
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  Study of Algebraic and Analytic Theory of Transcendental Numbers

    • Principal Investigator
      MITSUI Takayoshi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Gakushuin University
  •  代数多様要の研究

    • Principal Investigator
      飯高 茂
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Gakushuin University
  •  偏微分方程式と関数解析・数値解析の研究

    • Principal Investigator
      黒田 成俊
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  解析多様体の研究

    • Principal Investigator
      大津賀 信
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  • 1.  KURODA Shigetoshi (20011463)
    # of Collaborated Projects: 20 results
    # of Collaborated Products: 0 results
  • 2.  MIZITANI Akira (80011716)
    # of Collaborated Projects: 18 results
    # of Collaborated Products: 0 results
  • 3.  IITAKA Shigeru (20011588)
    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 4.  MITSUI Takayoshi (20080484)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 5.  FUJIWARA Daisuke (10011561)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 6.  OHTSUKA Makoto (30033765)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 7.  KAWASAKI Tetsuro (90107061)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 8.  WATANABE Kazuo (90260851)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 9.  赤尾 和男 (50011698)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  浅枝 陽 (60080488)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  YAJIMA Kenji (80011758)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  SHIMOMURA Akihiro (00365066)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  NAKANO Shin (40180327)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  ICHINOSE Takashi (20024044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SUGANO Satoko (50316931)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  KAKEUCHI Shingo (00333021)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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