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Logarithmic Sobolev Inequality and Exponential Convergence of a Markovian Semigroup in the Zygmund Space

Entropy (Basel, Switzerland), 2018-03, Vol.20 (4), p.220

Shigekawa, Ichiro

2018

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Defective intertwining property and generator domain

Journal of functional analysis, 2006-10, Vol.239 (2), p.357-374

Shigekawa, Ichiro

2006

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VANISHING THEOREM OF THE HODGE–KODAIRA OPERATOR FOR DIFFERENTIAL FORMS ON A CONVEX DOMAIN OF THE WIENER SPACE

Infinite dimensional analysis, quantum probability, and related topics, 2003-09, Vol.6 (supp01), p.53-63

SHIGEKAWA, ICHIRO

2003

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Dual ultracontractivity and its applications

Frontiers of Mathematics in China, 2014-08, Vol.9 (4), p.899-928

SHIGEKAWA, Ichiro

2014

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On equivalence of Lp-norms related to schrodinger type operators on riemannian manifolds

Probability theory and related fields, 2006-08, Vol.135 (4), p.487-519

2006

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Semigroups preserving a convex set in a Banach space

Kyoto journal of mathematics, 2011-09, Vol.51 (3)

Shigekawa, Ichiro

2011

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Exponential convergence of Markovian semigroups and their spectra on Lp-spaces

Kyoto journal of mathematics, 2014-01, Vol.54 (2)

2014

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Poisson Point Processes and Their Application to Markov Processes

1st ed. 2015, 2016

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On equivalence of L p -norms related to Schrödinger type operators on Riemannian manifolds

Probability theory and related fields, 2006-08, Vol.135 (4), p.487-519

2006

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Schrödinger operators on the Wiener space

Communications on stochastic analysis, 2007-04, Vol.1 (1)

Shigekawa, Ichiro

2007

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Existence of invariant measures of diffusions of an abstract Wiener space

Osaka journal of mathematics, 1987, Vol.24 (1), p.37-59

SHIGEKAWA, I

1987

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Littlewood-Paley-Stein inequality for a symmetric diffusion

Journal of the Mathematical Society of Japan, 1992, Vol.44 (2), p.251-280

1992

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Littlewood-paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary

Osaka journal of mathematics, 2002-12, Vol.39 (4), p.897-930

SHIGEKAWA, Ichiro

2002

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Semigroup Domination on a Riemannian Manifold with Boundary

Acta applicandae mathematicae, 2000-09, Vol.63 (1-3), p.385

Shigekawa, Ichiro

2000

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LpContraction Semigroups for Vector Valued Functions

Journal of functional analysis, 1997-06, Vol.147 (1), p.69-108

Shigekawa, Ichiro

1997

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Derivatives of Wiener functionals and absolute continuity of induced measures

Kyoto journal of mathematics, 1980-01, Vol.20 (2)

Shigekawa, Ichiro

1980

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Spectral properties of Schrödinger operators with magnetic fields for a spin 1/2 particle

Journal of functional analysis, 1991-11, Vol.101 (2), p.255-285

SHIGEKAWA, I

1991

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Logarithmic Sobolev Inequalities and Exponential Integrability

Journal of functional analysis, 1994-11, Vol.126 (1), p.83-101

1994

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Sobolev spaces of Banach-valued functions associated with a Markov process

Probability theory and related fields, 1994-09, Vol.99 (3), p.425-441

Shigekawa, Ichiro

1994

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Itô-Wiener expansions of holomorphic functions on the complex Wiener space

Stochastic Analysis, 1991, p.459-473

1991

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A stochastic approach to the Riemann-Roch theorem

Osaka journal of mathematics, 1988, Vol.25 (no. 4), p.759-784

1988

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On a quasi everywhere existence of the local time of the 1-dimensional brownian motion

Osaka journal of mathematics, 1984, Vol.21 (3), p.621-627

SHIGEKAWA, I

1984

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Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemannian manifold

Journal of functional analysis, 1987-11, Vol.75 (1), p.92-127

Shigekawa, Ichiro

1987

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Spectral properties of Schrödinger operators with magnetic fields for a spin 12 particle

Journal of functional analysis, 1991-11, Vol.101 (2), p.255-285

Shigekawa, Ichiro

1991

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A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary

Osaka journal of mathematics, 1989, Vol.26 (4), p.897-930

1989

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Logarithmic Sobolev Inequality and Exponential Convergence of a Markovian Semigroup in the Zygmund Space

Defective intertwining property and generator domain

VANISHING THEOREM OF THE HODGE–KODAIRA OPERATOR FOR DIFFERENTIAL FORMS ON A CONVEX DOMAIN OF THE WIENER SPACE

Dual ultracontractivity and its applications

On equivalence of Lp-norms related to schrodinger type operators on riemannian manifolds

Semigroups preserving a convex set in a Banach space

Exponential convergence of Markovian semigroups and their spectra on Lp-spaces

Poisson Point Processes and Their Application to Markov Processes

On equivalence of L p -norms related to Schrödinger type operators on Riemannian manifolds

Schrödinger operators on the Wiener space

Existence of invariant measures of diffusions of an abstract Wiener space

Littlewood-Paley-Stein inequality for a symmetric diffusion

Littlewood-paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary

Semigroup Domination on a Riemannian Manifold with Boundary

LpContraction Semigroups for Vector Valued Functions

Derivatives of Wiener functionals and absolute continuity of induced measures

Spectral properties of Schrödinger operators with magnetic fields for a spin 1/2 particle

Logarithmic Sobolev Inequalities and Exponential Integrability

Sobolev spaces of Banach-valued functions associated with a Markov process

Itô-Wiener expansions of holomorphic functions on the complex Wiener space

A stochastic approach to the Riemann-Roch theorem

On a quasi everywhere existence of the local time of the 1-dimensional brownian motion

Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemannian manifold

Spectral properties of Schrödinger operators with magnetic fields for a spin 12 particle

A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary

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