Kumanogo Naoto 熊ノ郷直人

… Alternative Names

Researcher Number	40296778
Other IDs
External Links
Affiliation (Current)	2020: 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	2018 – 2019: 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 2010: 工学院大学, 工学部, 教授 2007 – 2009: Kogakuin University, 工学部, 准教授 2003 – 2006: 工学院大学, 工学部, 助教授 1998 – 2000: 工学院大学, 工学部, 講師
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 / 関数方程式 / 関数解析学 / 擬微分作用素 / 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 InvestigatorOngoing
- 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)
  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
[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
[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
  40021523571
- 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 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 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 - 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] 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] 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
  
  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] 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] 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] 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] 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 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 Kumanogo and Daisuke Fujiwara
- Journal Title
  
  Bulletin des Sciences Mathematiques 132
  
  Pages: 313-357
- 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] 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
- 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] 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] 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 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] 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] 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] 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] 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
[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] 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
[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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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 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] 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)
  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 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 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 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] 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] 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 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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 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
[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

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 InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Application of the pseudo-differential operotous to the Feynmon path

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[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)

Total Pages

Publisher

Data Source

[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)

Publisher

Data Source

[Journal Article] Phase space Feynman path integrals of parabolic type with smooth functional derivatives2019

Author(s)

Journal Title

DOI

Data Source

Kumanogo Naoto 熊ノ郷直人

KUMANOGO Naoto 熊ノ郷直人

KUMANO-GO Naoto 熊ノ郷直人