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FUJIWARA Daisuke  藤原 大輔

ORCIDConnect your ORCID iD *help
Researcher Number 10011561
Other IDs
Affiliation (based on the past Project Information) *help 1993 – 2009: 学習院大学, 理学部, 教授
1986 – 1991: 東京工業大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis / Basic analysis
Except Principal Investigator
代数学・幾何学 / 解析学 / Basic analysis / Science education / Basic analysis / Algebra / Science education / Geometry
Keywords
Principal Investigator
量子力学 / Feynman経路積分 / 経路積分 / Stationary phase method / 停留位相法 / Quantum mechanics / Selfajoint operator / Schrodinger equation / Oscillatory integrals / Feynman path integrals … More / WKB法 / path integrals / WKB-method / Stationary phase / Schrodinger方程式 / Scrodinger方程式 / Feynman path integral / 振動積分 / 準古典近似 / 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 / 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 / 不変量 / 特異点 / 曲面バンドル特性類 / 接触構造 / ランダムウォーク / 汎函数 / シュレーディンガー方程式Schroedinger equation / Feynman path interal / 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 … More
Except Principal Investigator
経路積分 / スペクトル理論 / シュレーディンガー作用素 / HIGH-SCHOOL MATHEMATICS / NATIONAL CURRICULUM / MATHEMATICAL EDUCATION / 高等学校数学 / 教育課程 / 数学教育 / 数学基礎 / 学習指導要領 / Spectral theory / スペクトル / 非線形偏微分方程式 / 散乱理論 / シュレーディンガー方程式 / Navier-Stokes / Maxwell / Trotter-Kato product formula / Trotter product formula / リー・トロッター・加藤積公式 / トロッター・加藤積公式 / トロッター積公式 / FUNDAMENTALS OF MATHEMATICS / CURRICULUM GUIDELINES / BASIC / Schrodinger equation / ファインマン積分 / 非線形方程式 / 分散型評価 / 偏微分方程式 / 数理物理学 / 特異性伝播 / 量子力学 / Stationary phase method / ファインマン経路積分 / 特異点 / 変分問題 / FUNDAMENTALS OF MATH / CURRICULUM / 教育過程 / time-sliced approximation / SchrOdinger operator / path integral / exponential product formula / Lie-Trotter-Kato product formula / 時間分割近似 / シュレーデインガー作用素 / 指数積公式 / Dissipative / Bi-harmonic / Besov space / Singular Perturbation / Self-adjoint / Shrodinger / Wiener空間 / 最大関数 / 消散型 / 消散方 / 重調和 / Besov空間 / 特異摂動 / 自己共役作用素 / Schrodinger / Random system / Microlocal singularities / Time periodic system / Scattering theory / Nonlinear differential equations / Partial differential equations / Mathematical Physics / 状態密度関数 / ランダムシュレーディンガー作用素 / phase space tunnenling / 量子電磁力学 / 漸近展開 / 断熱近似 / ランダム磁場 / レゾナンス / ネルソンモデル / Schrodinger方程式 / 平滑化作用 / 停留位相法 / 散乱の波動作用素 / ランダム系 / 超局所特異性 / 時間周期系 / MATHEMATICS ACTIVITIES / 教育ソフト / 数学的活動 / quantum mechanics / Schrodinger operator / Path integral / Lie-Trotter product formula / シュレディンガー作用素 / 中等教育 / 情報教育 / コンピュータ / 高校数学 / Covering surface of the unit disc / Nonlinear PDE / Zeros of Polynomials / Feynman integral / 代数方程式の数値解法 / 点相互作用 / 特異相互作用 / 単位円板の被覆面 / 多項式の零点 / 停留位相の方法 / 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 / Functional equations / Diophantine equations / Algebraic independence / Transcendental numbers / 関数等式 / 不定方程式 / 代数的独立性 / 超越数 / Finite element approximation / Explicit method / Degenerate non-linear parabolic equations / Pass integral / Feynmann integral / Semi-linear elliptic boundary value problem / マンデルブロ-集合 / 有限要素法近似 / 振動積分 / 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 / シュレ-ディンガー方程式 / Hypoellipticity / Hyperbolic Equations / Spectrum / Scattering Theory / Elastic Equations / 回折 / 特異性の伝播 / 超局所解析 / エネルギ-の減衰 / 波動作用素 / 多体問題 / 双曲系方程式 / 準楕円性 / 双曲型方程式 / 弾性方程式 / SINGULARITY / ALGEBRAIC SURFACE / RIEMANN SURFACE / MODULI SPACE / SURFACE BUNDLE / CHRACTERISTIC CLASSES / フーリエ積分作用素 / 複素射影空間 / 奇数次元球面 / 接触リーマン構造 / W-K-B近似 / ハミルトン系 / シュビンガー・ダイソン方程式 / リノーマリゼイション / 振動膜 / 特異性伝播問題 / 量子物理学 / 基本解 / 関数解析学 / 線形偏微分方程式 / 実解析 / 関数解析 / 関数方程式 / クレモナ変換 / 代数曲線 / 種数 / 小平次元 / 微分型式 / 極小モデル / 双有理 / 代数幾何 / 有限要素法 / 逆反復法 / 変分原理 / 不安定解 / 準線形楕円型境界値問題 / limit set / Complex dinamics / Kleinnian group / Ample vector bundles / Newton boundary / nonーdegenerate / Toric blowingーup / Futaki inuarianV / Feynmann intcgral / singularity / algobraic surface / moduli cpale / Torolli group / Casson inuarianV / Mapping class group / ビリヤ-ド問題 / キャッソン不変量 / ケ-ラ-・アインシュタイン計量 / デルペッツオ多様体 / 正規特異点 / 完全交叉特異点 / 随伴直線束 / 豊富ベクトル束 / デルペッツォ多様体 / 偏極多様体 / 代数多様体 / 射影多様体 / 熱方程式の基本解 / ホモロジ-球面 / トレリ群 / ファインマンの経路積分 / 接触構造 / CR構造 / 正曲率 / リ-マン多様体 / 変り点 / 鞍部点法 / スト-クス現象 / 複素WKB法 Less
  • Research Projects

    (34 results)
  • Research Products

    (47 results)
  • Co-Researchers

    (49 People)
  •  汎関数解析学とファインマン経路積分の数学的研究Principal Investigator

    • Principal Investigator
      藤原 大輔
    • Project Period (FY)
      2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Mathematical Analysis of Quantum Physics

    • Principal Investigator
      YAJIMA Kenji (KENJI Yajima)
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Research on Functional Analysis and Mathematical theory of Feynman path integralsPrincipal Investigator

    • 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
  •  Further Development of Trotter Product Formulas with Problems on Path Integrals

    • Principal Investigator
      ICHINOSE Takashi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Study of developing firm ability in Mathematics.

    • Principal Investigator
      IITAKA Shigeru
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      Gakushuin University
  •  Research on Functional Analysis and Mathematical theory of Feynman path integrals.Principal Investigator

    • 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.
  •  Mathematical Analysis of Quantum Physics

    • Principal Investigator
      YAJIMA Kenji
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
      The University of Tokyo
  •  On the scattering theory and the singular perturbations for the self-adjoint operators

    • Principal Investigator
      WATANABE Kazuo
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Further Development of Trotter-Kato Product Formula in Operator Norm and Related Problems on Path Integral

    • Principal Investigator
      ICHINOSE Takashi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Research in Functional Analsys and Mathematical theory of Feynman path integralsPrincipal Investigator

    • 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
  •  THE PROMTION OF ABILITY OF MATHEMATICS LEARNING

    • Principal Investigator
      SHIGERU Iitaka
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      GAKUSHUIN UNIVERSITY
  •  Research in Functional Analsys and Mathematical theory of Feynman path integrals.Principal Investigator

    • 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
  •  Mathematics of Schrodinger Equations

    • Principal Investigator
      KURODA Shige toshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  THE STUDY OF HIGH-SCHOOL MATH AND ITS NEIGHBORHOODS

    • Principal Investigator
      IITAKA Shigeru
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      GAKUSHUIN UNIVERSITY
  •  Research in Functional Analsys.Principal Investigator

    • 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

    • 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

    • 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

    • Principal Investigator
      藤原 大輔
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  代数多様体の双有理不変構造の研究

    • Principal Investigator
      飯高 茂
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  偏微分方程式の近似解法

    • Principal Investigator
      MIZUTANI Akira
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  解析的集合の特異点の幾何構造の研究

    • Principal Investigator
      岡 睦雄
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  リ-マン多様体の曲率と位相構造の研究

    • Principal Investigator
      丹野 修吉
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  射影多様体の代数幾何的複素解析的および位相幾何的諸性質に基づく分類

    • Principal Investigator
      藤田 隆夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  特異点の研究

    • Principal Investigator
      福田 拓生
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  低次元多様体上の諸構造の研究

    • Principal Investigator
      森田 茂之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  Co-operative research of partial differential equations and its applications

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  微分方程式の漸近理論

    • Principal Investigator
      西本 敏彦
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  汎関数解析の位相解析的研究Principal Investigator

    • Principal Investigator
      藤原 大輔
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  多様体のモデル空間と幾何学的条件の研究

    • Principal Investigator
      丹野 修吉
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  低次元多様体上の諸構造の研究

    • Principal Investigator
      森田 茂之
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  微分方程式の漸近理論

    • Principal Investigator
      西本 敏彦
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology

All 2010 2009 2008 2007 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semi-classical approximations2008

    • Author(s)
      N. Kumano-go, D. Fujiwara
    • Journal Title

      Bulletin des Sciences Mathematiques 132

      Pages: 313-357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Journal Article] Phase space Feynman path integral via piecewise bicharacteristic paths and their semi-classical approximations2008

    • Author(s)
      Naoto Kumano-go, Daisuke Fujiwara
    • Journal Title

      Bull. Sci. Math vol.132

      Pages: 313-357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations.2007

    • Author(s)
      Fujiwara, D.and Kumano-go, N.
    • Journal Title

      Bulletin des Sciences Mathematiques, 131(in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] The second term of the semiclassical asymptotic expansion for Feynman path integrals with integrand of polynomial order2006

    • Author(s)
      D.Fujiwara
    • Journal Title

      Journal of the Mathematical Society of Japan (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth2006

    • Author(s)
      Daisuke Fujiwara, Naoto Kumano-go
    • Journal Title

      J. Math. Soc. Japan 58-3

      Pages: 837-867

    • NAID

      10018381149

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340038
  • [Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial order2006

    • Author(s)
      D.Fujiwara and N.Kumano-go
    • Journal Title

      J.Math.Soc.Japan 58

      Pages: 837-867

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] The-second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth.2006

    • Author(s)
      Daisuke Fujiwara, Naoto Kumano-go
    • Journal Title

      J. Math. Soc. Japan Vol. 58-3

      Pages: 837-867

    • NAID

      10018381149

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340038
  • [Journal Article] The second term of the semiclassical asymptotic expansion for Feynman path integrals with integrand of polynomial order2006

    • Author(s)
      D.Fujiwara
    • Journal Title

      Journal of the Mathematical Society of Japan (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension2006

    • Author(s)
      D.Fujiwara and N.Kumano-go
    • Journal Title

      Funkcialaj Ekvacioj 49

      Pages: 59-68

    • NAID

      130000140660

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] The second term of semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth.2006

    • Author(s)
      Fujiwara, D., Kumanogo, N.
    • Journal Title

      Journal of the Mathematical Society of Japan 58/3

      Pages: 847-867

    • NAID

      10018381149

    • Data Source
      KAKENHI-PROJECT-18340041
  • [Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path inte-grals with integrand of polynomial order2006

    • Author(s)
      D., Fujiwara, N., Kumano-go
    • Journal Title

      J. Math. Soc. Japan 58

      Pages: 837-867

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimensions2006

    • Author(s)
      D.Fujiwara
    • Journal Title

      Functialaj Ekvacioj (to appear)

    • NAID

      130000140660

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] An improved remainder estimates of stationary phase method for some oscillatory integrals over a space of large dimensions2006

    • Author(s)
      D. Fujiwara, N. Kumano-go
    • Journal Title

      Funkcilaj Ekvacioj 49

      Pages: 59-86

    • NAID

      130000140660

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory inte-grals over a space of large dimension2006

    • Author(s)
      D., Fujiwara, N., Kumano-go
    • Journal Title

      Funkcialaj Ekvacioj 49

      Pages: 59-86

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension.2006

    • Author(s)
      Fujiwara, D., Kumano-go, N.
    • Journal Title

      Funkcialaj Ekvacioj. 49

      Pages: 59-86

    • NAID

      130000140660

    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimensions2006

    • Author(s)
      Daisuke Fujiwara
    • Journal Title

      Funcktialaj Ekvacioj (To appear)

    • NAID

      130000140660

    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial order.2006

    • Author(s)
      Fujiwara, D., Kumano-go, N.
    • Journal Title

      J. Math. Soc. Japan. 58

      Pages: 837-867

    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] an improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension.2006

    • Author(s)
      Fujiwara, D., Kumanogo, N.
    • Journal Title

      Funkcialaj Ekvacioj 49/1

      Pages: 59-86

    • NAID

      130000140660

    • Data Source
      KAKENHI-PROJECT-18340041
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimensions2006

    • Author(s)
      D.Fujiwara
    • Journal Title

      Functialaj Ekvacioj (To appear)

    • NAID

      130000140660

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial order2006

    • Author(s)
      Daisuke Fujiwara
    • Journal Title

      Journal of the Mathematical Society of Japan (To appear)

    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] The second term of semi-classical expansion for Feynman path integrals with integrand of polynomial growth2006

    • Author(s)
      D. Fujiwara, N. Kumano-g
    • Journal Title

      Journal of the Mathematical Society of Japan 58

      Pages: 847-867

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Journal Article] Smooth functional derivatives in Feynman path integral by time slicing approximation2005

    • Author(s)
      D.Fujiwara
    • Journal Title

      Bulletin des Sciences Mathematiques 129

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2005

    • Author(s)
      Daisuke Fujiwara, Naoto Kumano-go
    • Journal Title

      Bull.Sci.Math. 129(To appear)

      Pages: 57-79

    • Data Source
      KAKENHI-PROJECT-16340038
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation.2005

    • Author(s)
      Fujiwara D, Kumano-go N
    • Journal Title

      Bull. des Sc. Math. 129

      Pages: 57-79

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540184
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2005

    • Author(s)
      Fujiwara, D., Kumano-go, N.
    • Journal Title

      Bulletin des Sciences Mathematiques 129

      Pages: 57-79

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540184
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation.2005

    • Author(s)
      Fujiwara, D
    • Journal Title

      Bulletin de Sciences Mathematiques. 129

      Pages: 57-79

    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] Smooth functional derivatives in Feynman path integral by time slicing approximation2005

    • Author(s)
      D.Fujiwara
    • Journal Title

      Bulletin des Sciences Mathematiques vol.129

      Pages: 57-79

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2005

    • Author(s)
      Daisuke Fujiwara, Naoto Kumano-go
    • Journal Title

      Bulletin des Sciences Mathematiques 129

      Pages: 57-79

    • Data Source
      KAKENHI-PROJECT-16340038
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approx-imation2005

    • Author(s)
      D.Fujiwara and N.Kumano-go
    • Journal Title

      Bulletin des Sciences Mathematiques 129

      Pages: 57-79

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] The second term of the semi-classical asymptotic expansion of Feynman path integrals with integrand of polynomial growth.2005

    • Author(s)
      Fujiwara, D
    • Journal Title

      Proc.8th international conference path integrals from quantum information to cosmology. (Praque)

      Pages: 8-8

    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] Smooth functional derivatives in Feyman path integral by time slicing approximation2005

    • Author(s)
      Fujiwara, D, Kumano-go, N
    • Journal Title

      Bulletin des Sciences Mathematiques 129

      Pages: 57-79

    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2005

    • Author(s)
      D.Fujiwara
    • Journal Title

      Bulletin de Sciences Mathematiques 129

      Pages: 57-79

    • Data Source
      KAKENHI-PROJECT-14340039
  • [Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2005

    • Author(s)
      Fujiwara, D., Kumano-go, N
    • Journal Title

      Bull. des Sc. Math 129

      Pages: 57-79

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension.

    • Author(s)
      Fujiwara, D
    • Journal Title

      Funkcialaj Ekvacioj. (in press)

    • NAID

      130000140660

    • Data Source
      KAKENHI-PROJECT-17540170
  • [Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial order.

    • Author(s)
      Fujiwara, D
    • Journal Title

      J.Math.Soc.Japan. (to appear)

    • Data Source
      KAKENHI-PROJECT-17540170
  • [Presentation] 大次元空間上での停留位相法の剰余項評価とその経路積分への応用2010

    • Author(s)
      藤原大輔
    • Organizer
      Encounter with Mathematics
    • Place of Presentation
      中央大学理工学部
    • Year and Date
      2010-01-08
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Presentation] 大次元空間上での停留位相法の剰余項評価とその経路積分への応用。2010

    • Author(s)
      藤原大輔
    • Organizer
      第53回Encounter with Mathematics
    • Place of Presentation
      中央大学
    • Year and Date
      2010-01-08
    • Data Source
      KAKENHI-PROJECT-21654023
  • [Presentation] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth.2009

    • Author(s)
      藤原大輔
    • Organizer
      第34回偏微分方程式論札幌シンポジューム
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-08-25
    • Data Source
      KAKENHI-PROJECT-21654023
  • [Presentation] Feynman 経路積分の伊藤先生による定式化について2008

    • Author(s)
      藤原大輔
    • Organizer
      伊藤清先生文化勲章祝賀講演会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-12-14
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Presentation] Feynman経路積分の伊藤先生による定式化について2008

    • Author(s)
      藤原大輔
    • Organizer
      伊藤清先生文化勲章祝賀講演会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-12-14
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Presentation] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth2008

    • Author(s)
      Daisuke Fujiwara
    • Place of Presentation
      Copenhagen Univ. Denmark
    • Year and Date
      2008-11-21
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Presentation] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth2008

    • Author(s)
      藤原大輔
    • Organizer
      Spectral Theory and Partial Differential equations
    • Place of Presentation
      Copenhagen大学
    • Year and Date
      2008-11-21
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Presentation] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth2008

    • Author(s)
      藤原大輔
    • Organizer
      Spectral Theory and Partial Differential equations
    • Place of Presentation
      Copenhagen 大学
    • Year and Date
      2008-11-21
    • Data Source
      KAKENHI-PROJECT-18340041
  • [Presentation] The second term of Feynman path integrals with integrand of polynomial growth2005

    • Author(s)
      藤原 大輔
    • Organizer
      Mathematical Physics Seminar (Euler Intern. Math.Inst.)
    • Place of Presentation
      St.Petersburg Univ.,St.Petersburg,Russia
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Presentation] The second term of Feynman path integrals with integrand of polynomial growth2005

    • Author(s)
      D., Fujiwara
    • Organizer
      Path integrals Prague 2005
    • Place of Presentation
      Czech Technical University, Prague (Czech)
    • Year and Date
      2005-06-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Presentation] The second term of Feynman path integrals with integrand of polynomial growth2005

    • Author(s)
      D., Fujiwara
    • Organizer
      Math. Phy. Seminar (Euler Intern. Math. Inst. )
    • Place of Presentation
      St. Petersburg Univ. St. Petersburg, Russia
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
  • [Presentation] The second term of Feynman path integrals with integrand of polynomial growth2005

    • Author(s)
      藤原 大輔
    • Organizer
      Path integrals Prague 2005
    • Place of Presentation
      Czech Technical University,Prague,Czech
    • Year and Date
      2005-06-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540170
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