Kumanogo Naoto 熊ノ郷直人

… Alternative Names

Researcher Number	40296778
Other IDs
External Links
Affiliation (Current)	2022: 工学院大学, 教育推進機構(公私立大学の部局等) , 教授
Affiliation (based on the past Project Information) *help	2020: 工学院大学, 教育推進機構(公私立大学の部局等), 教授 2019: 工学院大学, 教育推進機構, 教授 2018: 工学院大学, 情報学部(情報工学部), 教授 2016 – 2017: 工学院大学, 情報学部, 教授 2011 – 2015: 工学院大学, 基礎・教養教育部門, 教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator Basic analysis / Basic analysis
Keywords	Principal Investigator 経路積分 / フーリエ積分作用素 / 振動積分 / 確率解析 / 数理物理 / 擬微分作用素 / 関数方程式 / 関数解析学 / 確率論 / 関数方程式論 … More Except Principal Investigator Feynman経路積分 / スピン / 量子電磁気学 / 相関関数 / spin / 振動型積分作用素 / 擬微分作用素理論 / 量子力学 / Feyman経路積分 / 解の連続性 / 電磁場ポテンシャル / ローレンツゲージ / 汎関数微分 / 電子電磁気学 / 光子の定常状態表現 / クーロンカの発生の数学的証明 / 擬微分作用素 / フーリエ積分作用素 / シュレディンガー方程式 / 経路積分 / Feynman(ファインマン) / pendo-diffenntial / fouri intogral oporotoo / Schrodinsyr eguotion / path integral / Feynman / 母関数 / 汎関数経路積分 / Pauli方程式 / 生成・消滅演算子 / 量子測定理論 / 汎函数微分 / Pauli方程 / 重み付きFeynman経路積分 / Feynman path integral / partition function / correlation function / path integral of the functional / Pauli equation / quantum electrodynamics / creation and annihilation operators Less

Path integrals - Analysis on path space created by time slicing approximationPrincipal Investigator
- Principal Investigator
  
  熊ノ郷直人
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kogakuin University
Path integrals-Analysis on path space opened by time slicing approximationPrincipal Investigator
- Principal Investigator
  
  Kumanogo Naoto
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kogakuin University
Path integrals - Expansion of analysis on path space by time slicing approximationPrincipal Investigator
- Principal Investigator
  
  KUMANOGO NAOTO
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kogakuin University
Path integrals as analysis on path space by time slicing approximationPrincipal Investigator
- Principal Investigator
  
  KUMANOGO Naoto
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kogakuin University
The theory of oscillatory integral operator and its application to the Feynman path integral
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
Theory of path integrals by time slicing approximation and its applicationsPrincipal Investigator
- Principal Investigator
  
  KUMANOGO Naoto
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kogakuin University
The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integral
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
時間分割近似法によるFeynman経路積分の理論の構成Principal Investigator
- Principal Investigator
  
  熊ノ郷直人
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kogakuin University
面を経路とした経路積分の振動積分による定式化Principal Investigator
- Principal Investigator
  
  熊ノ郷直人
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kogakuin University
Application of the pseudo-differential operotous to the Feynmon path
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University

[Book] 数理解析研究所講究録1723「経路積分と超局所解析の入門」2011
- Author(s)
  熊ノ郷直人、山崎晋、岡田靖則
- Publisher
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21540196
[Book] 数理解析研究所講究録1723「経路積分と超局所解析の入門」2011
- Author(s)
  編集:熊ノ郷直人、山崎晋、岡田靖則
- Total Pages
  190
- Publisher
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Phase space path integral on torus for the fundamental solution of higher-order parabolic equations2020
- Author(s)
  Naoto Kumano-go and Keiya Uchida
- Journal Title
  
  Journal of Pseudo-Differential Operators and Applications
  
  Volume: 11 Pages: 1059-1083
- DOI
  10.1007/s11868-020-00341-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03547
[Journal Article] Phase space Feynman path integrals of parabolic type with smooth functional derivatives2019
- Author(s)
  Kumano-go Naoto
- Journal Title
  
  Bulletin des Sciences Mathematiques
  
  Volume: 153 Pages: 1-27
- DOI
  10.1016/j.bulsci.2019.01.012
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04937
[Journal Article] 経路積分－時間分割近似法で切り拓く経路空間上の解析―2018
- Author(s)
  熊ノ郷　直人
- Journal Title
  
  数学
  
  Volume: 70 Pages: 129-158
- NAID
  130007835721
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04937
[Journal Article] Phase space Feynman path integrals of higher order parabolic type with general functional as integrand2015
- Author(s)
  Naoto Kumano-go, A. S. Vasudeva Murthy
- Journal Title
  
  Bulletin des Sciences Mathematiques
  
  Volume: In Press
- DOI
  10.1016/j.bulsci.2014.11.001
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540193
[Journal Article] Phase space Feynman path integrals as analysis on path space2014
- Author(s)
  熊ノ郷　直人
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1902 Pages: 1-20
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540193
[Journal Article] Phase space path integrals as analysis on path space2013
- Author(s)
  Naoto Kumano-go
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1861 Pages: 83-99
- Data Source
  KAKENHI-PROJECT-24540193
[Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2013
- Author(s)
  Naoto Kumano-go, Daisuke Fujiwara
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B37 Pages: 113-136
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540193
[Journal Article] Phase space Feynman path integrals - as analysis on path space via piecewise constant paths2012
- Author(s)
  Naoto Kumano-go
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1797 Pages: 187-203
- Data Source
  KAKENHI-PROJECT-24540193
[Journal Article] Phase space Feynman path integrals - calculation examples via piecewise bicharacteristic paths2012
- Author(s)
  Naoto Kumano-go
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1797 Pages: 167-186
- Data Source
  KAKENHI-PROJECT-24540193
[Journal Article] 経路積分-時間分割近似法による経路空間上の解析として2012
- Author(s)
  熊ノ郷直人
- Journal Title
  
  数理科学
  
  Volume: No.586 Pages: 28-34
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] ガウス過程に対する経路積分-時間分割近似法による経路空間上の解析として2011
- Author(s)
  熊ノ郷直人
- Journal Title
  
  数理解析研究所講究録「経路積分と超局所解析の入門」
  
  Volume: 1723 Pages: 55-78
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation2011
- Author(s)
  Naoto Kumano-go
- Journal Title
  
  Bulletin des Sciences Mathematiques
  
  Volume: Vol.135、No.8 Pages: 936-987
- URL
  http://www.sciencedirect.com/science/article/pii/S0007449711000972
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] ガウス過程に対する経路積分-時間分割近似法による経路空間上の解析として-2011
- Author(s)
  熊ノ郷直人
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1723巻 Pages: 55-78
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Path integrals for Gaussian processes as analysis on path space by time slicing approximation2010
- Author(s)
  Naoto Kumano-go
- Journal Title
  
  Integration Mathematical Theory and Applications
  
  Volume: Vol.1、No.3 Pages: 253-278
- URL
  https://www.novapublishers.com/catalog/product_info.php?products_id=20199
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Path integrals for Gaussian processes as analysis on path space by time slicing approximation2010
- Author(s)
  Naoto Kumano-go
- Journal Title
  
  Integration : Mathematical Theory and Applications
  
  Volume: 1 Pages: 253-278
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2009
- Author(s)
  Naoto Kumano-go, Daisuke Fujiwara
- Journal Title
  
  More Progresses in Analysis : Proceedings of the 5th International ISAAC Congress, World Scientific
  
  Pages: 429-438
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2009
- Author(s)
  Naoto Kumano-go、Daisuke Fujiwara
- Journal Title
  
  World Scientific Pub Co Inc
  
  Pages: 429-438
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2009
- Author(s)
  Naoto Kumano-go、Daisuke Fujiwara
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1648巻 Pages: 32-52
- Data Source
  KAKENHI-PROJECT-21540196
[Journal Article] Feynman path integrals and Semiclassical approximation2008
- Author(s)
  N., Kumano-go,D., Fujiwara
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 241-263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] Feynman path integrals and semiclassical approximation2008
- Author(s)
  Naoto Kumano-go, Daisuke Fujiwara
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5 : Algebraic Analysis and Exact WKB Analysis for Systems of Differential Equations(eds. Takashi Aoki, Naoto Kumano-go and Susumu Yamazaki)
  
  Pages: 241-263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2008
- Author(s)
  Naoto Kumanogo and Daisuke Fujiwara
- Journal Title
  
  Bulletin des Sciences Mathematiques 132
  
  Pages: 313-357
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] Phase space path integrals and their semiclassical approximations2008
- Author(s)
  Naoto Kumano-go, Daisuke Fujiwara
- Journal Title
  
  Proceedings of the 9th International Conference 'Path Integrals, New Trend and Perspectives', World Scientific
  
  Pages: 102-107
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2008
- Author(s)
  Naoto Kumano-go, Daisuke Fujiwara
- Journal Title
  
  Bulletin des Sciences mathematiques 132巻
  
  Pages: 313-357
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2008
- Author(s)
  N. Kumano-go and D. Fujiwara
- Journal Title
  
  Bulletin des Sciences Mathematiques(掲載決定済み, onlineで掲載済み)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540175
[Journal Article] Path integrals as analysis on path space by time slicing approximation2007
- Author(s)
  Naoto Kumano-go, Daisuke Fujiwara
- Journal Title
  
  PAMM. Proc. Appl. Math. Mech. 7巻
  
  Pages: 1130101-1130102
- NAID
  130007835721
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth2006
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  Journal of the Mathematical Society of Japan Vol. 58 No. 3
  
  Pages: 837-867
- NAID
  10018381149
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension2006
- Author(s)
  Daisuke Fujiwara, Naoto Kumano-go
- Journal Title
  
  Funkcialaj Ekvacioj 49巻
  
  Pages: 59-86
- NAID
  130000140660
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[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
  
  Journal of the Mathematical Society of Japan 58巻
  
  Pages: 837-867
- NAID
  10018381149
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] An improved remainder estimate of stationary phase method for some oscillatry integrals over a space of large dimension2006
- Author(s)
  N.Kumano-go, D.Fujiwara
- Journal Title
  
  Funkcalaj Ekvacij, 49
  
  Pages: 59-86
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth2006
- Author(s)
  N.Kumano-go, D.Fujiwara
- Journal Title
  
  J. Math. Soc. Japan 58・3
  
  Pages: 837-867
- NAID
  10018381149
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension2006
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  Funkcialaj Ekvacioj 49
  
  Pages: 59-86
- NAID
  130000140660
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] Smooth functional derivatives in Feynman path integrals2005
- Author(s)
  N.Kumano-go, D.Fujiwara
- Journal Title
  
  The proceedings of The 8-th International Conference "Path Integrals. From Quantum Information to Cosmology"
- Data Source
  KAKENHI-PROJECT-15740094
[Journal Article] The second term of the semi-classical asymptotic expansion of Feynman path integrals with integrand of polynomial growth2005
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  The proceedings of The 8-th International Conference "Path Integrals. From Quantum Information to Cosmology"
- Data Source
  KAKENHI-PROJECT-15740094
[Journal Article] Smooth functional derivatives in Feynman path integrals by time slicing approximation2005
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  Bull.Sci.Math. 129
  
  Pages: 57-79
- Data Source
  KAKENHI-PROJECT-16540145
[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 (印刷中)
- Data Source
  KAKENHI-PROJECT-15740094
[Journal Article] Feynman path integrals as analysis on path space by time slicing approximation2004
- Author(s)
  N.Kumano-go
- Journal Title
  
  Bulletin Des Sciences Math. 128 no.3
  
  Pages: 197-251
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] The second term of the semi-classical approximation for Feynman path integrals with integrand of polynomial growth
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  Journal of the Mathematical Society of Japan (To appear)
- Data Source
  KAKENHI-PROJECT-15740094
[Journal Article] The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  J.Math.Soc.Japan (発表確定)
- NAID
  10018381149
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  Funkcialaj Ekvacioj (To appear)
- NAID
  130000140660
- Data Source
  KAKENHI-PROJECT-15740094
[Journal Article] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
- Author(s)
  N., Kumano-go・D., Fujiwara
- Journal Title
  
  Bulletin des Sciences Mathematiques (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740077
[Journal Article] An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension
- Author(s)
  D.Fujiwara, N.Kumano-go
- Journal Title
  
  Funkcial.Ekvac (発表確定)
- NAID
  130000140660
- Data Source
  KAKENHI-PROJECT-16540145
[Presentation] 放物型の相空間Feynman 経路積分と滑らかな汎函数微分2019
- Author(s)
  熊ノ郷　直人
- Organizer
  第58 回実函数論・函数解析学合同シンポジウム（九州大学）
- Invited
- Data Source
  KAKENHI-PROJECT-19K03547
[Presentation] Phase space Feynman path integrals of parabolic type with smooth functional derivatives2018
- Author(s)
  Naoto Kumano-go
- Organizer
  RIMS共同研究（公開型）代数解析学の諸問題-超局所解析及び漸近解析-
- Invited
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Feynman経路積分ー時間分割近似法による経路空間上の解析2018
- Author(s)
  熊ノ郷　直人
- Organizer
  研究集会「量子論にまつわる数学と数論の連携探索 2018」、早稲田大学
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space Feynman path integrals2018
- Author(s)
  Naoto Kumano-go
- Organizer
  19th Annual Workshop on Applications and Generalizations of Complex Analysis, The University of Aveiro, Portugal
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation2017
- Author(s)
  Naoto Kumano-go
- Organizer
  Workshop "Path Integration in Complex Dynamical Systems"
- Place of Presentation
  Lorentz Center, Netherland
- Year and Date
  2017-02-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space Feynman path integrals of parabolic type with functional derivatives2017
- Author(s)
  熊ノ郷　直人
- Organizer
  RIMS共同研究（公開型）「超局所解析と漸近解析」, 京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space Feynman path integrals of higher order parabolic type with general functional as integrand2017
- Author(s)
  Naoto Kumano-go
- Organizer
  The 9th Nagoya Workshop on Differential Equations
- Place of Presentation
  名古屋大学
- Year and Date
  2017-03-21
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space path integral of higher order parabolic type with general functional as integrand2016
- Author(s)
  Naoto Kumano-go
- Organizer
  Workshop on Differential Equations in Hiroshima
- Place of Presentation
  広島大学
- Year and Date
  2016-10-15
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space path integral of higher order parabolic type with general functional as integrand2016
- Author(s)
  Naoto Kumano-go
- Organizer
  The 14th Linear and Nonlinear Waves
- Place of Presentation
  ピアザ淡海
- Year and Date
  2016-11-02
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space Feynman path integrals of higher order parabolic type with general functional as integrand2016
- Author(s)
  Naoto Kumano-go
- Organizer
  Workshop "Geometric and Singular Analysis"
- Place of Presentation
  The University of Potsdam, Germany
- Year and Date
  2016-03-11
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space path integral of higer order parabolic type with general functional as integrand2016
- Author(s)
  Naoto Kumano-go
- Organizer
  New development of microlocal analysis and singular perturbation theory
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-10-04
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Phase space Feynman path integrals of higher order parabolic type2015
- Author(s)
  Naoto Kumano-go
- Organizer
  Workshop "Feynman integral with harmonic analysis and related topics"
- Place of Presentation
  CAMP，NIMS, Daejeon, Korea
- Year and Date
  2015-05-20
- Data Source
  KAKENHI-PROJECT-15K04937
[Presentation] Path integrals for Gaussian Processes as analysis on path space2015
- Author(s)
  Naoto Kumano-go
- Organizer
  Workshop "Geometric and Singular Analysis"
- Place of Presentation
  The University of Potsdam, Germany
- Year and Date
  2015-02-10
- Data Source
  KAKENHI-PROJECT-24540193
[Presentation] Phase space Feynman path integrals of higher order parabolic type2014
- Author(s)
  Naoto Kumano-go
- Organizer
  RIMS Joint Research "Introductory Workshop on Path Integrals and Pseudo-Differential Operators"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-10
- Data Source
  KAKENHI-PROJECT-24540193
[Presentation] Phase space Feynman path integrals as analysis on path space2012
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「超局所解析とその展望」
- Place of Presentation
  日本大学
- Year and Date
  2012-03-08
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation2012
- Author(s)
  Naoto Kumano-go
- Organizer
  The workshop "Geometric and Singular Analysis"
- Place of Presentation
  The University of Potsdam、Germany
- Year and Date
  2012-03-16
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation2012
- Author(s)
  Naoto Kumano-go
- Organizer
  The workshop "Recent Developments in Stochastic Analysis"
- Place of Presentation
  EPFL、Switzerland
- Year and Date
  2012-01-31
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals by time slicing approximation2011
- Author(s)
  Naoto Kumano-go
- Organizer
  RIMS共同研究「Introductory Workshop on Feynman Path Integral and Microlocal Analysis」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] 区分的陪特性経路による相空間経路積分-計算例を中心に2011
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「確率解析とその周辺」
- Place of Presentation
  佐賀大学
- Year and Date
  2011-11-13
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] 区分的陪特性経路による相空間の経路積分-計算例を中心に-2011
- Author(s)
  熊ノ郷直人
- Organizer
  数理科学セミナー
- Place of Presentation
  松本市浅間温泉みやま荘
- Year and Date
  2011-09-25
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Path integrals for Gaussian processes as analysis on path space by time slicing approximation2010
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「確率解析とその周辺」
- Place of Presentation
  岡山大学
- Year and Date
  2010-11-12
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2010
- Author(s)
  Naoto Kumano-go
- Organizer
  The meeting "Feynman Path Integrals and Their Applications"
- Place of Presentation
  Swansea University、UK
- Year and Date
  2010-01-18
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Path integrals for Gaussian processes as analysis on path space by time slicing approximation2010
- Author(s)
  Naoto Kumano-go
- Organizer
  The 10th International Conference "Path integrals 2010"
- Place of Presentation
  The Howard University、USA
- Year and Date
  2010-07-13
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Feynman経路積分-時間分割近似法による経路空間上の解析として2010
- Author(s)
  熊ノ郷直人
- Organizer
  ENCOUNTER with MATHEMATICS
- Place of Presentation
  中央大学
- Year and Date
  2010-01-09
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclasscial approximations2010
- Author(s)
  Naoto Kumano-go
- Organizer
  The workshop "Operator on singular spaces"
- Place of Presentation
  The University of Potsdam、Germany
- Year and Date
  2010-03-10
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] ガウス過程に対する経路積分-時間分割近似法による経路空間上の解析として2010
- Author(s)
  熊ノ郷直人
- Organizer
  RIMS共同研究「経路積分と超局所解析の入門」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Path integrals for Gaussian processes as analysis on path space by time slicing approximation2010
- Author(s)
  Naoto Kumano-go
- Organizer
  Global COE International Mini-Workshop "Microlocal analysis and partial differential equations"
- Place of Presentation
  東京大学
- Year and Date
  2010-11-20
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2009
- Author(s)
  Naoto Kumano-go
- Organizer
  AMS Joint Mathematics Meeting
- Place of Presentation
  Washington D. C., USA
- Year and Date
  2009-01-06
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Feynman integrals2009
- Author(s)
  Naoto Kumano-go
- Organizer
  Homi Bhabna Birth Centenary Symposium on Hyperbolic Partial Differential Equations and Related Topics
- Place of Presentation
  TIFR-CAM、India
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2009
- Author(s)
  Naoto Kumano-go
- Organizer
  NIMS hot topics workshop on Infinite Dimensional Analysis and Related Topics
- Place of Presentation
  Hannam University、Korea
- Year and Date
  2009-06-24
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2009
- Author(s)
  Naoto Kumanogo
- Organizer
  American Mathematical Society
- Place of Presentation
  Washington D.C
- Year and Date
  2009-01-06
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Phase space Feynman path integrals and their semi-classical approximations2009
- Author(s)
  Naoto Kumano-go
- Organizer
  RIMS Conference "Microlocal Analysis and Related Topics"
- Place of Presentation
  関西学院大学大阪梅田キャンパス
- Year and Date
  2009-10-21
- Data Source
  KAKENHI-PROJECT-21540196
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2008
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「完全WKB解析と超局所解析」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-05-26
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2008
- Author(s)
  Naoto Kumano-go
- Organizer
  The workshop 'Decay and regularity for solutions of differential equations and dynamical systems'
- Place of Presentation
  The University of Cagliari, Italy
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations2008
- Author(s)
  Naoto Kumano-go
- Organizer
  International Symposium "Function Spaces and Partial Differential Equations"
- Place of Presentation
  大阪大学
- Year and Date
  2008-02-19
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Phase space path integrals and their semi-classical approximations2007
- Author(s)
  Naoto Kumano-go
- Organizer
  The 9th International Conference 'Path Integrals-New Trends and Perspectives' Max-Planck-Institut fur Physik komplexer Systeme
- Place of Presentation
  Dresden, Germany
- Year and Date
  2007-09-25
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Feynman path integrals as analysis on path space by time slicing approximation2007
- Author(s)
  Naoto Kumano-go
- Organizer
  The workshop 'Microlocal Analysis and Harmonic Analysis in Inverse Problems'
- Place of Presentation
  CIRM, Marseille, France
- Year and Date
  2007-03-29
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Path integrals as analysis on path space by time slicing approximation2007
- Author(s)
  Naoto Kumano-go
- Organizer
  The 6th International Congress on Industrial and Applied Mathematics
- Place of Presentation
  Zurich, Switzerland
- Year and Date
  2007-07-18
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Feynman経路積分、時間分割近似法による経路空間上の解析として2007
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「確率論とPDE」
- Place of Presentation
  広島大学
- Year and Date
  2007-10-15
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Feynman経路積分,時間分割近似法による経路空間上の解析として2007
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「微分方程式の総合的研究」日本数学会函数方程式論分科会
- Place of Presentation
  東京大学
- Year and Date
  2007-12-14
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Smooth functional derivatives in Feynman path integrals by time slicing approximation2006
- Author(s)
  Naoto Kumano-go
- Organizer
  The conference 'The Feynman Integral and Related Topics in Mathematics and Physics'
- Place of Presentation
  The University of Nebraska Lincoln, USA
- Year and Date
  2006-05-13
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Feynman path integrals as analysis on path space by time slicing approximation2006
- Author(s)
  Naoto Kumano-go
- Organizer
  研究集会「逆問題ワークショップ」
- Place of Presentation
  筑波大学
- Year and Date
  2006-07-10
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] Smooth functional derivatives in Feynman path integrals by time slicing approximation2006
- Author(s)
  Naoto Kumano-go
- Organizer
  The conference 'Partial Differential Equations on Noncompact and Singular Manifolds'
- Place of Presentation
  The University of Potsdam, Germany
- Year and Date
  2006-08-11
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] 経路積分と準古典近似2006
- Author(s)
  熊ノ郷直人
- Organizer
  研究集会「微分方程式系の代数解析と完全WKB解析」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-12-14
- Data Source
  KAKENHI-PROJECT-18740077
[Presentation] 相空間の経路積分－経路空間上の解析として－
- Author(s)
  熊ノ郷直人
- Organizer
  日本数学会秋季総合分科会、函数方程式論特別講演
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540193
[Presentation] Phase space Feynman path integrals as analysis on path space
- Author(s)
  熊ノ郷直人
- Organizer
  RIMS研究集会「スペクトル・散乱理論とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24540193
[Presentation] Phase space Feynman path integrals of m-th order parabolic type for general functionals
- Author(s)
  Naoto Kumano-go
- Organizer
  Workshop 'Geometric and Singular Analysis'
- Place of Presentation
  The University of Potsdam, Germany
- Data Source
  KAKENHI-PROJECT-24540193
[Presentation] Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
- Author(s)
  Naoto Kumano-go
- Organizer
  Special Session on Interplays Between Feynman Operational Calculus, Wiener and Feynman Integrals, Physics, and Analysis on Wiener Space, AMS Joint Mathematics Meetings
- Place of Presentation
  San Diego, USA
- Data Source
  KAKENHI-PROJECT-24540193

1. ICHINOSE Wataru (80144690)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. HIROSHIMA Fumio (00330358)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. SUGIMOTO Mitsuru (60196756)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. 千原浩之 (70273068)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. MORIMOTO Yoshinori (30115646)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. TANIUCHI Yasushi (80332675)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. OTOBE Yoshiki (30334882)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kumanogo Naoto 熊ノ郷 直人

KUMANOGO Naoto 熊ノ郷 直人

KUMANO-GO Naoto 熊ノ郷 直人

Research Projects

Research Products

Co-Researchers

Path integrals - Analysis on path space created by time slicing approximationPrincipal Investigator

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Path integrals-Analysis on path space opened by time slicing approximationPrincipal Investigator

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Path integrals - Expansion of analysis on path space by time slicing approximationPrincipal Investigator

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Path integrals as analysis on path space by time slicing approximationPrincipal Investigator

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The theory of oscillatory integral operator and its application to the Feynman path integral

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Theory of path integrals by time slicing approximation and its applicationsPrincipal Investigator

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The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integral

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時間分割近似法によるFeynman経路積分の理論の構成Principal Investigator

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面を経路とした経路積分の振動積分による定式化Principal Investigator

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Application of the pseudo-differential operotous to the Feynmon path

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[Book] 数理解析研究所講究録1723「経路積分と超局所解析の入門」2011

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[Book] 数理解析研究所講究録1723「経路積分と超局所解析の入門」2011

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[Journal Article] Phase space path integral on torus for the fundamental solution of higher-order parabolic equations2020

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Kumanogo Naoto 熊ノ郷直人

KUMANOGO Naoto 熊ノ郷直人

KUMANO-GO Naoto 熊ノ郷直人