Differential calculus on path and loop spaces II. Irreducibility of Dirichlet forms on loop spaces-Reference-Cited by-同舟云学术

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Differential calculus on path and loop spaces II. Irreducibility of Dirichlet forms on loop spaces

Published:1998-12 Issue:8 Volume:122 Page:635-666
ISSN:0007-4497
Container-title:Bulletin des Sciences Mathématiques
language:en
Short-container-title:Bulletin des Sciences Mathématiques

Author:

Aida Shigeki

Publisher

Elsevier BV

Subject

General Mathematics

Reference47 articles.

1. Certain gradient flows and submanifolds in Wiener spaces;Aida;J. Funct. Anal.,1993

2. On the Ornstein-Uhlenbeck operators on Wiener-Riemannian manifolds;Aida;J. Funct. Anal.,1993

3. Sobolev Spaces over Loop Groups;Aida;J. Funct. Anal.,1995

4. On the Irreducibility of Certain Dirichlet Forms on Loop Spaces over Compact Homogeneous Spaces;Aida,1994

5. Logarithmic Sobolev Inequalities on Loop Spaces over Compact Riemannian Manifolds;Aida,1996

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ornstein−Uhlenbeck type processes on Wasserstein spaces;Stochastic Processes and their Applications;2024-06

2. On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold;Bernoulli;2022-11-01

3. Martingale Representation and Logarithmic-Sobolev Inequality for the Fractional Ornstein-Uhlenbeck Measure;Acta Mathematica Scientia;2021-04-19

4. On integration by parts formula and characterization of fractional Ornstein–Uhlenbeck process;Statistics & Probability Letters;2015-12

5. A Poincaré inequality on loop spaces;Journal of Functional Analysis;2010-09

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