UMEDA Tomio

J-GLOBAL         Last updated: Mar 20, 2019 at 16:16
 
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Name
UMEDA Tomio
Affiliation
University of Hyogo
Job title
Professor
Degree
Doctor of Science(Osaka University)

Research Interests

 
 

Research Areas

 
 

Academic & Professional Experience

 
Apr 2004
 - 
Today
Professor, University of Hyogo
 
Apr 1997
 - 
Mar 2004
Professor, Himeji Institute of Technology
 
Apr 1990
 - 
Mar 1997
Himeji Institute of Technology, Associate
 
Apr 1983
 - 
Mar 1990
Osaka University, Research Assistant
 
 
   
 
Professor
 

Education

 
 
 - 
1982
Graduate School, Division of Natural Science, Osaka City University
 
 
 - 
1977
Faculty of Science, Shizuoka University
 

Misc

 
Smooth perturbations in ordered Banach spaces and similarity for the linear transport operators
Journal of Mathematical Society of Japan   38-4    1986
Scattering and spectral theory for the linear Boltzmann operator
Journal of Mathematics of Kyoto University   24-2    1984
Weyl quantized Hamiltonians of relativstic spinless particles in magnetic fields(共著)
Journal of Functional Analysis   92-1    1990
Scattering theory for pseudo-differential operators I. The existence of wave operators
Osaka Journal of Mathematics   18-2    1981
Scattering theory for pseudo-differential operators(]G0002[), The completeness of wave operators
Osaka Journal of Mathematics   19-3    1982

Books etc

 
An Introduction to the theory of Analytic Functions of One Complex variable
1998   

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A))
Project Year: 2007 - 2010    Investigator(s): Tatsuo NISHITANI
Much progress has been achieved on linear hyperbolic Cauchy problem, on precise asymptotic behaviors of solutions to nonlinear dissipative and wave equations and on semi-classical resonances, by local and global phase space analysis, in deep coope...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2007 - 2008    Investigator(s): Setsuro FUJIIE
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2005 - 2007    Investigator(s): Chisato IWASAKI
Gunther and Schimming had studied a relation between curvature of Riemannian manifolds and a summation of the trace of the kernel for the heat equation acting to the de Rham complex on manifolds. This summation is one kind of generalization of the...
Spectral analysis of quantum Hamiltonians
Project Year: 2005   
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2003 - 2006    Investigator(s): Tomio UMEDA
It has been shown that the resolvent kernel of the free relativistic Schroedinger operator consists of three parts, each of which is different from each other in nature: the fisrt term is the Riesz potential with strong singularity, the second one...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2001 - 2003    Investigator(s): Toshihiko HOSHIRO
In this project, we are concerned with smoothing properties of solutions to dispersive equations and related topics. Our approach is besed on not only methods of real analysis but also methods of the other areas, especially limiting absorption pri...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2000 - 2001    Investigator(s): Akao AKAHORI
Let (V, o) be an isolated singularity with complex dimension n, in a complex euclidean space (C^N/,o). Let M be the intersection of this V and the real hyperspere S^2N-1_E(o), centered at the origin o with radius ε. Then, over M, a CR structure is...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 1998 - 2000    Investigator(s): Toshihiko HOSHIRO
In this project, we are mainly concerned with smoothing properties of solutions to dispersive equations. We used not only methods of real analysis but also methods of the other areas, especially spectral theory. Our subjects are smoothing effect o...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 1997 - 2000    Investigator(s): Tomio UMEDA
This project is an attempt to make an approach to spectral and scattering theory for relativistic Schrodinger operators. The aim of the project is to investigate the generalized Fourier transforms through analyzing the generalized eigenfunctions i...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 1997 - 1998    Investigator(s): Chisato IWASAKI
1. An analytical proof of the local version of the Gauss-Banner-Chern Theorem has been obtained by Chisato Iwasaki in a paper titled A proof of the Gauss Bonnet-Chern Theorem by the symbolic calculus of pseudo-differential operators, only calculat...