Ichiro SHIGEKAWA

J-GLOBAL         Last updated: Aug 21, 2019 at 10:05
 
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Name
Ichiro SHIGEKAWA
Affiliation
Kyoto Sangyo University
Section
Faculty of Science
Job title
Professor,Professor
Degree
Doctor of Science(Osaka University)
ORCID ID
0000-0002-8865-8071

Research Areas

 
 

Academic & Professional Experience

 
Jan 2000
 - 
Today
- Kyoto University, Professor
 
Apr 1989
 - 
Dec 1999
Kyoto University, Associate Professor
 
Mar 1987
 - 
Mar 1989
Osaka University Associate professor
 
Apr 1984
 - 
Mar 1988
Osaka University, Lecturer
 
Apr 1979
 - 
Mar 1985
Osaka Universit, Research Assistant
 

Education

 
 
 - 
1978
Graduate School, Division of Natural Science, Kyoto University
 
 
 - 
1976
Faculty of Science, Kyoto University
 

Published Papers

 
Ichiro Shigekawa
Math. J. Okayama Univ.   60 137-153   2018   [Refereed]
Ichiro Shigekawa
Entropy   20(4) 220   Mar 2018   [Refereed]
Ichiro Shigekawa
Festschrift Masatoshi Fukushima   527-551   2015   [Refereed]
Shigekawa I.
Frontiers of Mathematics in China   9(4) 899-928   2014   [Refereed]
I. Shigekawa
Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete   59(2) 211-221   1982   [Refereed]
I. Shigekawa
Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete   65(4) 493-522   1984   [Refereed]
I. Shigekawa
North-Holland Mathematical Library   32(C) 409-422   1984   [Refereed]
H. Matsumoto; I. Shigekawa
Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete   69(4) 507-540   1985   [Refereed]
Kusuoka S, Shigekawa I.
Kyoto Journal of Mathematics   54(2) 367-399   2014   [Refereed]
Shigekawa I.
Lecture Notes in Mathematics   1857 226-246   2005   [Refereed]
I. Shigekawa
Journal of Functional Analysis   75(1) 92-127   1987   [Refereed]
重川 一郎
Osaka Journal of Mathematics,24/1   24(1) 37-59   1987   [Refereed]
Ichiro Shigekawa
Journal of Mathematics of Kyoto University   35(4) 639   1995   [Refereed]
Shigekawa I, Ueki N, Watanabe S.
Osaka Journal of Mathematics   26(4) 897-930   1989   [Refereed]
Shigekawa I, Ueki N.
Osaka Journal of Mathematics   25(4) 759-784   1988   [Refereed]
Shigekawa I.
Osaka Journal of Mathematics   21(3) 621-627   1984   [Refereed]
Derivatives of Wiener functionals and absolute continuity of induced measures
重川 一郎
Journal of Mathematics of Kyoto University,20/2      1980   [Refereed]
S. Manabe; I. Shigekawa
Journal of Functional Analysis   94(2) 349-357   1990   [Refereed]
I. Shigekawa
Journal of Functional Analysis   101(2) 255-285   1991   [Refereed]
SHIGEKAWA, I; YOSHIDA, N
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN   44(2) 251-280   Apr 1992   [Refereed]
De Rham-Hodge-Kodaria's decomposition on an abstract Wiener space
重川 一郎
Journal of Mathematics of Kyoto University,26/2      1986   [Refereed]
I. Shigekawa
Probability Theory and Related Fields   99(3) 425-441   Jul 1994   [Refereed]
S. Aida; T. Masuda; I. Shigekawa
Journal of Functional Analysis   126(1) 83-101   Nov 1994   [Refereed]
A STOCHASTIC APPROACH TO THE RIEMANN-ROCH THEOREM
SHIGEKAWA, I; UEKI, N
OSAKA JOURNAL OF MATHEMATICS   25(4) 759-784   Dec 1988   [Refereed]
S. Aida; I. Shigekawa
Journal of Functional Analysis   126(2) 448-475   Dec 1994   [Refereed]
I. Shigekawa
Journal of Functional Analysis   147(1) 69-108   Jun 1997   [Refereed]
SOBOLEV SPACES OVER THE WIENER SPACE BASED ON AN ORNSTEIN-UHLENBECK OPERATOR
SHIGEKAWA, I
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY   32(4) 731-748   Dec 1992   [Refereed]
I. Shigekawa
Acta Applicandae Mathematicae   63(1-3) 385-410   Sep 2000   [Refereed]
Dirichlet forms on infinite dimensional spaces
重川 一郎
,45/2,141-156      1993   [Refereed]
I. Shigekawa
Infinite Dimensional Analysis, Quantum Probability and Related Topics   6(SUPPL. 1) 53-63   2003   [Refereed]
An example of regular (r,p)-capacity and essential self-adjointness of a diffusion operator in infinite dimensions
Shigekawa, I
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY   35(4) 639-651   Dec 1995   [Refereed]
T. Miyokawa; I. Shigekawa
Probability Theory and Related Fields   135(4) 487-519   2006   [Refereed]
I. Shigekawa
Journal of Functional Analysis   239(2) 357-374   2006   [Refereed]
I. Shigekawa
Kyoto Journal of Mathematics   51(3) 647-672   2011   [Refereed]
Witten Laplacian on a lattice spin system
Ichiro Shigekawa
Kyoto Journal of Mathematics, Vol. 51, 647-672      2009   [Refereed]
Non-symmetric diffusions on a Riemannian manifold
Ichiro Shigekawa
Adv. Stud. Pure Math., 57, Math. Soc. Japan      2010   [Refereed]
Eigenvalue problems for the Schr(]E88D8[)dinger operator with magnetic field on a compact Riemannian manifold
重川 一郎
Journal of Functional Analysis,75/1      1987   [Refereed]
Spectral properties of Schr(]E88D8[)dinger operators with magnetic fields for a spin ┣D71(/)2┫D7 particle
重川 一郎
Journal of Functional Analysis,101/2      1991   [Refereed]

Misc

 
重川 一郎
数学   52(1) 107-110   Jan 2000
A quasi-homeomorphism on the Wiener space
重川 一郎
Proceeding of Symposia in Pure Mathematics,57/,473-486      1995   [Refereed]
K(]E88D2[)hler metric on a based loop group and a covariant differentiation(Jointly authored)
重川 一郎
Ito's stochastic calculus and probability theory,/,327-346      1996   [Refereed]
Differential calculus on a based loop group
重川 一郎
New Trends in Stochastic Analysis,/,375-398      1997   [Refereed]
The domain of a generator and the intertwining property
重川 一郎
Stochastics in finite and infinite dimensions, Birkh(]E88D2[)user,/,401-410      2001   [Refereed]

Books etc

 
Stochastic Analysis
重川 一郎
,American Mathematical Society   1998   

Association Memberships

 
 

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B))
Project Year: Apr 2005 - Mar 2009    Investigator(s): Ichiro SHIGEKAWA
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A))
Project Year: Apr 2002 - Mar 2005    Investigator(s): Ichiro SHIGEKAWA
The main research area of the head investigator is diffusions in infinite dimension. At the same time, a research of diffusions on a Riemannian manifold is accomplished because geometric point of view is important in our research. We gave a probab...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B))
Project Year: Apr 1999 - Mar 2002    Investigator(s): Ichiro SHIGEKAWA
We have accomplished the research of the semigroup domination and the intertwining property of semigroups. The semigroup domination stands for that |T^^→_tu|【less than or equal】T_t|u| holds for semigroup T^^→_t and T_t. Here u are supposed to be a...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B))
Project Year: Apr 1996 - Mar 1998    Investigator(s): Ichiro SHIGEKAWA
The research on stochastic analysis, in particulat on loop groups, was accomplished. Since the loop group has the structure of on infinite dimensional manifold, it offers a typical example of the infinite dimensional analysis. An analytic approach...