2009 - 2011 Semi-classical Analysis for Schrodinger Equations
2007 - 2010 Phase Space Analysis of Partial Differential Equations
2007 - 2008 Semi-classical Analysis of Schroedinger Equations
2005 - 2007 The fundamental solution for the heat equation on manifolds and its applications
2003 - 2006 Generalized eigenfunctions of relativistic Schroedinger operators, pseudo-differential operators and their related topics
2005 - 量子ハミルトニアンのスペクトル解析
2005 - Spectral analysis of quantum Hamiltonians
2001 - 2003 Study of Smoothing Effects and Related Problems
2000 - 2001 On the construction of the Seiberg-Witten equation over CR
1998 - 2000 Smoothing Effects in Dispersive Equations
1997 - 2000 ON THE GENERALIZED FOURIER TRANSFORMS ASSOCIATED RELATIVISTIC SCHRODINGER OPERATORS
1997 - 1998 Construction of the fundamental solution for equations of parabolic type and its applications to geometric problems
1995 - 1995 相対論的シュレディンガ-作用素のレゾルベント
1994 - 1994 Dirac作用素のスペクトル散乱理論
1993 - 1993 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
1992 - 1992 関数解析的・確率論的方法による複素解析の研究
1991 - 1991 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
1990 - 1990 偏微分方程式論的方法による複素解析の研究
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Papers (4):
Masaki Tajiri, Tomio Umeda. Representation formulas of the solutions to the Cauchy problems for first order systems. OSAKA JOURNAL OF MATHEMATICS. 2007. 44. 1. 197-205
M NAGASE, T UMEDA. THE NONRELATIVISTIC LIMIT FOR THE WEYL QUANTIZED HAMILTONIANS AND PSEUDODIFFERENTIAL-OPERATORS. FORUM MATHEMATICUM. 1992. 4. 4. 377-381
M NAGASE, T UMEDA. ON THE ESSENTIAL SELF-ADJOINTNESS OF PSEUDODIFFERENTIAL-OPERATORS. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES. 1988. 64. 4. 94-97
T UMEDA. RADIATION CONDITIONS AND RESOLVENT ESTIMATES FOR RELATIVISTIC SCHRODINGER-OPERATORS. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE. 1995. 63. 3. 277-296
Resolvent estimates of the Dirac operator(共著). Analysis. 1995. 15. 123