UMEDA Tomio 楳田登美男

… Alternative Names

楳田登美男ウメダトミオ

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Researcher Number	20160319
Other IDs
Affiliation (Current)	2025: 兵庫県立大学, 理学研究科, 特任教授(名誉教授)
Affiliation (based on the past Project Information) *help	2023: 兵庫県立大学, 理学研究科, 特任教授(名誉教授) 2021 – 2022: 兵庫県立大学, 理学研究科, 特任教授 2019 – 2020: 兵庫県立大学, 物質理学研究科, 特任教授 2014 – 2018: 兵庫県立大学, 物質理学研究科, 教授 2013 – 2015: 兵庫県立大学, その他の研究科, 教授 … More 2014: 兵庫県立大学, 大学院・物質理学研究科, 教授 2012: 兵庫県立大学, 物質理学研究科, 教授 2007 – 2012: University of Hyogo, 大学院・物質理学研究科, Professor 2010: 兵庫県立大学, 物質理学研究科, 教授 2006: University of Hyogo, Graduate School of Material Science, Professor, 大学院物質理学研究科, 教授 2004 – 2005: 兵庫県立大学, 大学院・物質理学研究科, 教授 2002 – 2003: 姫路工業大学, 大学院・理学研究科, 教授 1997 – 2001: 姫路工業大学, 理学部, 教授 1990 – 1995: 姫路工業大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic Section 12010:Basic analysis-related / Mathematical analysis Except Principal Investigator Basic analysis / 解析学 / Basic analysis / Global analysis / Foundations of mathematics/Applied mathematics
Keywords	Principal Investigator スペクトル理論 / 相対論的シュレディンガー作用素 / スペクトル解析 / 散乱理論 / ディラック作用素 / 関数方程式 / 放射条件 / レゾルベント評価 / 強伝播系 / マックスウェル方程式 … More / ディラック方程式 / スペクトル / 平滑化評価式 / １階偏微分方程式系 / Maxwell 方程式 / Dirac 方程式 / 固有値の有限性 / 時空大域的評価 / 極限吸収原理 / マックスウェル作用素 / pseudo-differential operators / genreralized eigenfunctions / relativistic Sshrodinger operators / 擬微分作用素 / 一般固有関数 / ELGENFUNCTION EXPANSIONS / RELATIVISTIC SCHRODINGER OPERATORS / SCATTERING THEORY / SPECTRAL THEORY / 固有関数展開 / 国際情報交換 / 国際研究者交流 / 埋蔵固有値 / 固有値問題 / シュレディンガー作用素 / 数理物理 / 数理物理学 / 解析学 / 国際情報交換（フランス） / 国際研究者交流（イギリス） / 量子力学の数学的研究 / 相対論的効果の数学的解明 / 固有関数 / Dirac作用素 … More Except Principal Investigator 偏微分方程式 / レゾナンス / シュレディンガー方程式 / 超局所解析 / 擬微分作用素 / スペクトル理論 / WKB解析 / 準古典解析 / 基本解 / 指数定理 / 表象計算 / Limiting Absorption Principle / Restriction Theorem / Smoothing Effect / Spectral Analysis / Harmonic Analysis / 制限定理 / 調和解析学 / pseudo-differential operator / fundamental solution / リーマン多様体 / ケーラー多様体 / 放物型方程式 / 解析学 / スペクトルシフト関数 / フランス:イタリア / 国際研究者交流 / 双曲型不動点 / 初期値問題 / 平滑化作用 / シュレディンガー作用素 / curvature / index theorem / parabolic equation / partial differential equation / 国際情報交換 / 熱方程式 / 幾何学 / 曲率 / Partial Differential Equations / 極限吸収の原理 / 平滑化作用(smoothing effect) / CR structure / isolated singularity / 有理特異点 / CR構造 / 孤立特異点 / Partial Different Equations / 極限吸収原理 / Kaehler manifold / curvature of manifold / symbolic calculus / Gauss-Bonnet-Chern theorem / Riemann Roch theorem / paroboloc differential eqation / トッドクラス / スペクトル / 多様体の曲率 / ガウル-ボンネ-チャーンの定理 / リーマン・ロッホの定理 / グリーン関数 / 再生核 / グリーン行列 / 最良定数 / ソボレフ不等式 / 国際研究者交流イタリア / 国際研究者交流フランス / ホモクリニック軌道 / 準古典極限 / 数理物理 / 準楕円性 / 散乱問題 / トンネル効果(ボローニャ) / 双曲型不動点(パリ) / シュレディンガー方程式(パリボローニャ) / レゾナンス(パリボローニャ) / 超局所解析(パリボローニャ) / WKB法(パリボローニャ) / 準古典解析(パリボローニャ) / 力学系 / 函数方程式の大域理論 / 関数解析 / 複素解析学 / 実解析学 / 函数方程式 / 正跡 / 複素相関数 / 陪特性帯 / 非実効果的双曲型 / 零陪特性帯 / Gevrey空間 / 適切性 / ハミルトン流 / 強双曲型作用素 / 複素数値相関数 / Gevrey適切性 / 零特性帯 / lifespan / Fourier積分作用素 / ハミルトン写像 / 非線形波動 / 分散型方程式 / 放物型作用素 / リーマン-ロッホの定理 / ガウス-ボンネ-チャーンの定理 / ランダムな磁場 / 放物型 / 抽象的発展方程式 / 補間問題 / 大域解 / 反応拡散方程式系 / 強い相互作用 / 生体の棲み分け / 数理生態学 / 正則関数に相似 / モンテル型性質 / 準線型α^^ー方程式 Less

New developments of spectral analysis for systems of first order partial differential operators; beyond Dirac and MaxwellPrincipal Investigator
- Principal Investigator
  
  Umeda Tomio
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  University of Hyogo
Spectral analysis and eigenvalue problems for relativistic operatorsPrincipal Investigator
- Principal Investigator
  
  Umeda Tomio
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  University of Hyogo
Best evaluation of the Sobolev inequality using the reproducing kernel theory and its applications
- Principal Investigator
  
  TAKEMURA Kazuo
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Nihon University
Semi-classical analysis of Schroedinger equations
- Principal Investigator
  
  FUJIIE Setsuro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
Hyoellipticity and Schroedinger operators with magnetic fields
- Principal Investigator
  
  HOSHIRO Toshihiko
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  University of Hyogo
SPECTRALANALYSISOFQUANTUMHAMILTONIANSATTHRESHODENERGIESPrincipal Investigator
- Principal Investigator
  
  UMEDA Tomio
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Hyogo
Semi-classical Analysis for Schrodinger Equations
- Principal Investigator
  
  FUJIIE Setsuro
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
  University of Hyogo
Phase Space Analysis of Partial Differential Equations
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Semi-classical Analysis of Schroedinger Equations
- Principal Investigator
  
  FUJIIE Setsuro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Hyogo
The fundamental solution for the heat equation on manifolds and its applications
- Principal Investigator
  
  IWASAKI Chisato
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Hyogo
Generalized eigenfunctions of relativistic Schroedinger operators, pseudo-differential operators and their related topicsPrincipal Investigator
- Principal Investigator
  
  UMEDA Tomio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Hyogo
  Himeji Institute of Technology
Study of Smoothing Effects and Related Problems
- Principal Investigator
  
  HOSHIRO Toshihiko
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Himeji Institute of Technology
On the construction of the Seiberg-Witten equation over CR
- Principal Investigator
  
  AKAHORI Akao
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Himejj Institute of Technology
Smoothing Effects in Dispersive Equations
- Principal Investigator
  
  HOSHIRO Toshihiko
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Himeji Institute of Technology
ON THE GENERALIZED FOURIER TRANSFORMS ASSOCIATED RELATIVISTIC SCHRODINGER OPERATORSPrincipal Investigator
- Principal Investigator
  
  UMEDA Tomio
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  HIMEJI INSTITUTE OF TECHNOLOGY
Construction of the fundamental solution for equations of parabolic type and its applications to geometric problems
- Principal Investigator
  
  IWASAKI Chisato
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
相対論的シュレディンガー作用素のレゾルベントPrincipal Investigator
- Principal Investigator
  
  楳田登美男
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
Dirac作用素のスペクトル散乱理論Principal Investigator
- Principal Investigator
  
  楳田登美男
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
放物型混合問題に対する基本解の表象と指数定理について
- Principal Investigator
  
  岩崎千里
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
関数解析的・確率論的方法による複素解析の研究
- Principal Investigator
  
  吉岡恒夫
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
数理生態学にあらわれる、拡散が個体数に依存する放物型方程式糸について
- Principal Investigator
  
  八木厚志
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology
偏微分方程式論的方法による複素解析の研究
- Principal Investigator
  
  幸原昭
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Himeji Institute of Technology

All 2021 2019 2018 2016 2015 2014 2012 2011 2010 2009 2008 2007 2006

All Journal Article Presentation

[Journal Article] Spectral theory of first-order systems: From crystals to Dirac operators2021
- Author(s)
  M. Ben-Artzi, T. Umeda
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 33 Issue: 05 Pages: 2150014-2150014
- DOI
  10.1142/s0129055x21500148
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03340
[Journal Article] Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials2016
- Author(s)
  Serge Richard, Jun Uchiyama, Tomio Umeda
- Journal Title
  
  Proceedings of Japan Academy
  
  Volume: 92, Ser. A Issue: 1 Pages: 7-12
- DOI
  10.3792/pjaa.92.7
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400175, KAKENHI-PROJECT-26707005
[Journal Article] Low energy spectral and scattering theory for relativistic Schroedinger operators2016
- Author(s)
  Serge Richard, Tomio Umeda
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 45 Pages: 141-179
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400175
[Journal Article] Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials.2015
- Author(s)
  Karl Michael Schmidt, Tomio Umeda
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 105 Issue: 11 Pages: 1479-1497
- DOI
  10.1007/s11005-015-0799-1
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400175
[Journal Article] Spectral properties of massless Dirac operators with real-valued potentials2014
- Author(s)
  Karl Michael Schmidt, Tomio Umeda
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B45 Pages: 25-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400175
[Journal Article] A sequence of zero modes of Weyl-Dirac operators and an associated sequence of solvable polynomials2012
- Author(s)
  Yoshimi Saito,Tomio Umeda
- Journal Title
  
  Operator Theory: Advances and Applications
  
  Volume: Vol.219 Pages: 197-209
- URL
  http://de.arxiv.org/pdf/1101.3133.pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540193
[Journal Article] A sequence of zero modes of Weyl-Dirac operators and an associated sequence of solvable polynomials2012
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Operator Theory : Advances and Applications
  
  Volume: vol.219 Pages: 197-209
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22654019
[Journal Article] Threshold eigenfunctions and threshold resonances of some relativistic operators2011
- Author(s)
  Yoshimi Saito, Tomio Umeda
- Journal Title
  
  Physics, Chemistry, Mathematics
  
  Volume: Vol.2 Pages: 1-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540193
[Journal Article] Eigenfunctions at the threshold energies of magnetic Dirac operators2011
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Reviews Math. Phys
  
  Volume: vol 23, No.2 Pages: 155-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22654019
[Journal Article] Eigen-functions at the threshold energies of magnetic Dirac operators2011
- Author(s)
  Yoshimi Saito, Tomio Umeda
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: Vol.23 Pages: 155-178
- URL
  http://de.arxiv.org/pdf/0905.0961.pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540193
[Journal Article] The Dirac-Hardy and Dirac-Sobolev inequalities in L^12011
- Author(s)
  A. Balinsky, W. D. Evans, T. Umeda
- Journal Title
  
  Publ. Res. Inst. Math. Sci.
  
  Volume: 47-3 Pages: 791-801
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540195
[Journal Article] The Dirac-Hardy and Dirac-Sobolev inequalities in L^12011
- Author(s)
  Alexander Balinsky, W. Desmond Evans, Tomio Umeda
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences, Kyoto Univ.
  
  Volume: Vol.47 Pages: 791-801
- URL
  http://de.arxiv.org/pdf/1101.3129.pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540193
[Journal Article] Eigenfunctions at the threshold energies of magnetic Dirac operators2011
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Rev. Math. Phys
  
  Volume: 23-2 Pages: 155-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540195
[Journal Article] The Dirac-Hardy and Dirac-Sobolev inequalities in$ L^1$2011
- Author(s)
  A. Balinsky, W. D. Evans, T. Umeda
- Journal Title
  
  Publ. RIMS
  
  Volume: vol.47 Pages: 791-801
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22654019
[Journal Article] The zero modes and zero resonances of massless Dirac operators2008
- Author(s)
  T.Umeda, Y.Saito
- Journal Title
  
  Hokkaido Math.J. vol 37
  
  Pages: 363-388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] The zero modes and zero resonances of massless Dirac operators2008
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Hokkaido Math. J 37, no.2
  
  Pages: 363-388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540195
[Journal Article] The zero modes and the zero resonances of massless Dirac operators2008
- Author(s)
  Yoshimi Saito and Tomio Umeda
- Journal Title
  
  Hokkaido Math. Journal 37
  
  Pages: 363-388
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The zero modes and the zero resonances of massless Dirac operators2008
- Author(s)
  Yoshimi, Saito, Tomio, Umeda
- Journal Title
  
  Hokkaido Math. Journal Vol.37
  
  Pages: 363-388
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The asymptotic limits of zero modes of massless Dirac operators2008
- Author(s)
  Tomio Umeda
- Journal Title
  
  Letters Math.Phys. 83
  
  Pages: 363-388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540195
[Journal Article] The Asymptotic Limits of Zero Modes of Massless Dirac operators2008
- Author(s)
  Yoshimi Saito and Tomio Umeda
- Journal Title
  
  Letters in Mathematical Physics 83
  
  Pages: 97-106
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The Asymptotic Limits of Zero Modes of Massless Dirac operators2008
- Author(s)
  Y. Saito and T. Umeda
- Journal Title
  
  Letters in Mathematical Physics 83
  
  Pages: 97-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The asymptotic limits of zero modes of massless Dirac operators2008
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Lett. Math. Phys 83, no.1
  
  Pages: 97-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540195
[Journal Article] Generalized eigenfunctions of relatrivistic Schrodinger operators in two dimensions2008
- Author(s)
  T., Umeda, D., Wei
- Journal Title
  
  Electron. J. Differential Equations No.143, 18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540195
[Journal Article] The Asymptotic Limits of Zero Modes of Massless Dirac operators2008
- Author(s)
  Yoshimi, Saito, Tomio, Umeda
- Journal Title
  
  Letters in Mathematical Physics Vol.83
  
  Pages: 97-106
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The zero modes and zero resonances of massless Dirac operator2008
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Hokkaido Math. J. 37
  
  Pages: 363-388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] The asymptotic limits of zero modes of massless Dirac operators2008
- Author(s)
  T.Umeda, Y.Saito
- Journal Title
  
  Lett.Math.Phys. vol 83
  
  Pages: 97-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] The asymptotic limits of zero modes of massless Dirac operator2008
- Author(s)
  Y. Saito, T. Umeda
- Journal Title
  
  Lett. Math. Phys. 83
  
  Pages: 97-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] Representation formulas of solutions to the Cauchy problem for first order systems2007
- Author(s)
  Masaki, Tajiri, Tomio, Umeda
- Journal Title
  
  Osaka Journal of Math Vol.44
  
  Pages: 197-205
- NAID
  120004838574
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Representation formulas of the solutions to the Cauchy problems for first order systems2007
- Author(s)
  Masaki Tajiri, Tomio Umeda
- Journal Title
  
  Osaka Journal of Mathematics Vol. 44, No. 1
  
  Pages: 197-205
- NAID
  120004838574
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540178
[Journal Article] Representation formulas of solutions to the Cauchy problem for first order systems2007
- Author(s)
  M. Tajiri and T. Umeda
- Journal Title
  
  Osaka Journal of Math 44
  
  Pages: 197-205
- NAID
  120004838574
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Representation formulas of the solutions to the Cauchy problems for first order systems2007
- Author(s)
  M. Tajiri, T. Umeda
- Journal Title
  
  Osaka J. Math 44, no.1
  
  Pages: 197-205
- NAID
  120004838574
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540195
[Journal Article] The zero modes and the zero resonances of Dirac operators2007
- Author(s)
  Yoshimi, Saito, Tomio Umeda
- Journal Title
  
  RIMS Kokyuroku Vol.1563
  
  Pages: 157-161
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The zero modes and the zero resonances of massless Dirac operators2007
- Author(s)
  Y. Saito and T. Umeda
- Journal Title
  
  京都大学数理解析研究所講究録 1563
  
  Pages: 157-161
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Representation formulas of the solutions to the Cauchy problems for first order systems2007
- Author(s)
  Tomio Umeda
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 197-205
- NAID
  120004838574
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540195
[Journal Article] Representation formulas of solutions to the Cauchy problem for first order systems2007
- Author(s)
  Masaki Tajiri and Tomio Umeda
- Journal Title
  
  Osaka Journal of Math 44
  
  Pages: 197-205
- NAID
  120004838574
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Representation formula of the solutions to the Cauchy problems for first order systems2007
- Author(s)
  Tomio Umeda(with M.Tajiri)
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 197-205
- NAID
  120004838574
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] The zero modes and the zero resonances of Dirac operators2007
- Author(s)
  Yoshimi Saito and Tomio Umeda
- Journal Title
  
  京都大学数理解析研究所講究録 1563
  
  Pages: 157-161
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Generalized eigenfunctions of relativisitic Schroedinger operators I2006
- Author(s)
  Tomio Umeda
- Journal Title
  
  Electronic Journal of Differential Equations 127
  
  Pages: 1-46
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Generalized eigenfunctions of relativistic Schrodinger operators I2006
- Author(s)
  Tomio Umeda
- Journal Title
  
  Electronic Journal of Differential Equations 2006
  
  Pages: 1-46
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540168
[Journal Article] Eigenfunction expansions of relativisitic Schroedinger operators I2006
- Author(s)
  Tomio Umeda
- Journal Title
  
  Electronic Journal of Differential Equations Vol. 2006, No. 127
  
  Pages: 1-46
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540178
[Journal Article] Eigenfunction expansions of relativistic Schroedinger operators I2006
- Author(s)
  Tomio Umeda
- Journal Title
  
  Electronic Journal of Differential Equations 2006・127
  
  Pages: 1-46
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540178
[Journal Article] Generalized eigenfunctions of relativistic Schorodinger operators I2006
- Author(s)
  Tomio, Umeda
- Journal Title
  
  Electronic Journal of Differential Equations Vol.2006
  
  Pages: 1-46
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540168
[Presentation] Coarea formula and spectral densities2019
- Author(s)
  楳田登美男
- Organizer
  第25回超局所解析と古典解析
- Data Source
  KAKENHI-PROJECT-18K03340
[Presentation] Space-time decay estimates for strongly propagative systems: From Maxwell to Dirac2018
- Author(s)
  Tomio Umeda
- Organizer
  Chile-Japan workshop on mathematical physics and partial differential equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03340
[Presentation] Space-time decay estimates for strongly propagative systems: From Maxwell to Dirac2018
- Author(s)
  Tomio Umeda
- Organizer
  Workshop 'Spectral analysis and quantum theory'
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03340
[Presentation] Schroedinger operators with n positive eigenvalues: an explicit construction of complex-valued potentials of von Neumann-Wigner type2016
- Author(s)
  楳田登美男
- Organizer
  偏微分方程式姫路研究集会
- Place of Presentation
  イーグレ・姫路（姫路市）
- Year and Date
  2016-03-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400175
[Presentation] Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials2015
- Author(s)
  楳田登美男
- Organizer
  RIMS研究会「量子場の数理とその周辺 2015 」
- Place of Presentation
  京都大学数理解析研究所（京都市）
- Year and Date
  2015-10-05
- Invited
- Data Source
  KAKENHI-PROJECT-26400175
[Presentation] Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials2015
- Author(s)
  楳田登美男
- Organizer
  Complex Analysis and Dynamical Systems VII
- Place of Presentation
  ナハリヤ（イスラエル）
- Year and Date
  2015-05-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400175
[Presentation] Complex valued potentials of von Neumann-Wigner type2015
- Author(s)
  楳田登美男
- Organizer
  2015 年夏の作用素論シンポジウム
- Place of Presentation
  フェニックス・プラザ（福井市）
- Year and Date
  2015-09-05
- Data Source
  KAKENHI-PROJECT-26400175
[Presentation] Low energy spectral and scattering theory for Schroedinger operators2014
- Author(s)
  Tomio Umeda
- Organizer
  Inverse problems and related topics
- Place of Presentation
  St. Petersburg, Russia
- Year and Date
  2014-08-21
- Invited
- Data Source
  KAKENHI-PROJECT-26400175
[Presentation] 磁場のディラック作用素の閾値エネルギーにおける固有関数と共鳴状態2012
- Author(s)
  楳田登美男
- Organizer
  日本数学会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] 磁場のディラック作用素の閾値エネルギーにおける固有関数と共鳴状態2012
- Author(s)
  楳田登美男
- Organizer
  日本数学会
- Place of Presentation
  東京理科大学神楽坂キャンパス(東京都)(招待講演)
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Low energy spectral and scattering theory for relativistic Schroedinger operators2012
- Author(s)
  Tomio Umeda
- Organizer
  New Developments in Relativistic Quantum Mechanics and Applications
- Place of Presentation
  ケンブリッジ大学ニュートン研究所（イギリス）
- Invited
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Low energy spectral and scattering theory for relativistic Schroedinger operators2012
- Author(s)
  楳田登美男
- Organizer
  Workshop "New developments in relativistic mechanics and applications"
- Place of Presentation
  ケンブリッジ大学ニュートン研究所(イギリス)
- Year and Date
  2012-08-01
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Threshold eigenfunctions and resonances for some relativistic operators2011
- Author(s)
  楳田登美男
- Organizer
  Conference "Operator theory & boundary value problems"
- Place of Presentation
  パリ大学オルセー校(フランス)
- Year and Date
  2011-05-27
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Threshold eigenfuntions and threshold resonances of some quantum Hamiltonians2010
- Author(s)
  楳田登美男
- Organizer
  American Institute of Mathematical Sciences Meeting
- Place of Presentation
  ドイツ・ドレスデン
- Year and Date
  2010-05-25
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Threshold eigenfunctions and resonances for some quantum Hamiltonians2010
- Author(s)
  楳田登美男
- Organizer
  第8回 AIMS International Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  ドレスデン工科大学(ドイツ)
- Year and Date
  2010-05-25
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Asymptotic limits of zero modes of massless Dirac operators2009
- Author(s)
  楳田登美男
- Organizer
  Abstract Harmonic Analysis 2009
- Place of Presentation
  中山大学(台湾)
- Year and Date
  2009-12-21
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] Eigenfunctions at the threshold energies of magnetic Dirac operators2009
- Author(s)
  楳田登美男
- Organizer
  第7回 International ISAAC Congress
- Place of Presentation
  インペリアル・カレッジ(イギリス)
- Year and Date
  2009-07-14
- Data Source
  KAKENHI-PROJECT-21540193
[Presentation] The zero modes and the zero resonances of massless Dirac operators2007
- Author(s)
  Umeda Tomio
- Organizer
  6-th International ISSAC Congress
- Place of Presentation
  Ankara, Turkey
- Year and Date
  2007-08-15
- Data Source
  KAKENHI-PROJECT-19204013

1. IWASAKI Chisato (30028261)

# of Collaborated Projects: 19 results

# of Collaborated Products: 0 results
2. HOSHIRO Toshihiko (40211544)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
3. UEKI Naomasa (80211069)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. 吉岡恒夫 (30029673)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. AKAHORI Takao (40117560)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. FUJIIE SETSURO (00238536)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. 八木厚志 (70116119)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. HIRANO Katsuhiro (90316034)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. DOI Shinichi (00243006)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. USA(FUJIWARA) Takeshi (10202293)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. WATANABE Takuya (80458009)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 幸原昭 (60047553)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 寺岡義伸 (20047616)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 吉田稔 (00182791)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 山岸弘幸 (10448053)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. NISHITANI Tatsuo (80127117)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. HAYASHI Nakao (30173016)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. SUNAGAWA Hideaki (80375394)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. KUBO Hideo (50283346)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. TAKUWA Hideki (80403111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. TOMITA Naohito (10437337)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. YAMADA Osanobu (70066744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. TAKEMURA Kazuo (60367216)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. NAGAI Atsushi (90304039)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. SEKIGUCHI Jiro (30117717)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 亀高惟倫 (00047218)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. Schmidt Karl M.

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
29. Richard Serge

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
30. UCHIYAMA Jun

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

UMEDA Tomio 楳田 登美男

楳田 登美男 ウメダ トミオ

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Co-Researchers

New developments of spectral analysis for systems of first order partial differential operators; beyond Dirac and MaxwellPrincipal Investigator

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Spectral analysis and eigenvalue problems for relativistic operatorsPrincipal Investigator

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SPECTRALANALYSISOFQUANTUMHAMILTONIANSATTHRESHODENERGIESPrincipal Investigator

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Generalized eigenfunctions of relativistic Schroedinger operators, pseudo-differential operators and their related topicsPrincipal Investigator

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ON THE GENERALIZED FOURIER TRANSFORMS ASSOCIATED RELATIVISTIC SCHRODINGER OPERATORSPrincipal Investigator

UMEDA Tomio 楳田登美男

楳田登美男ウメダトミオ