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Ichiro Shigekawa
Researcher at Kyoto University
Publications - 28
Citations - 435
Ichiro Shigekawa is an academic researcher from Kyoto University. The author has contributed to research in topics: Semigroup & Classical Wiener space. The author has an hindex of 10, co-authored 28 publications receiving 422 citations.
Papers
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Journal ArticleDOI
Logarithmic Sobolev Inequalities and Exponential Integrability
TL;DR: In this article, the authors prove the exponential integrability of Lipschitz functions in abstract Wiener spaces by using logarithmic Sobolev inequalities, and give several conditions under which the function is exponentially integrable.
Journal ArticleDOI
Spectral properties of Schrödinger operators with magnetic fields for a spin 12 particle
TL;DR: In this paper, the spectral properties of Schrodinger operators with magnetic fields were discussed, especially for a spin 1 2 particle, and the essential spectrum and the discrete spectrum were classified by the asymptotic behavior of the magnetic field at infinity.
Journal ArticleDOI
LpContraction Semigroups for Vector Valued Functions
TL;DR: In this article, a comparison theorem between two semigroups: a semigroup acting on scalar valued functions and a semi-group acting on vector valued functions is given by the abstract Kato theorem.
Book ChapterDOI
Measures of finite (r,p)-energy and potentials on a separable metric space
Tetsuya Kazumi,Ichiro Shigekawa +1 more
TL;DR: In this paper, measures of (r, p)-finite energy associated with a Markovian semigroup on a separable metric space were discussed. And a relation with the (r and p)-potential was investigated.
Book ChapterDOI
Itô-Wiener expansions of holomorphic functions on the complex Wiener space
TL;DR: In this paper, the authors show Lp-convergence of Ito-Wiener expansions for holomorphic functions on a complex abstract Wiener space and the unicity theorem.