Potential theory on infinite products and locally compact groups

DOI10.1023/A:1008654925672zbMath0953.47029MaRDI QIDQ1962854

Laurent Saloff-Coste, Alexander D. Bendikov

Publication date: 17 January 2001

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

potential theoryharmonic spacesGaussian convolution semigroupsDirichlet spaceslocally compact groupsinfinite product of compact Riemannian manifoldsLie projective basisproduct diffusionstranslation invariant harmonic sheaves

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Axiomatic potential theory (31D05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Transition functions, generators and resolvents (60J35)

Related Items (6)

On the sample paths of Brownian motions on compact infinite dimensional groups ⋮ Invariant local Dirichlet forms on locally compact groups ⋮ On the convergence to equilibrium of Brownian motion on compact simple Lie groups ⋮ Gaussian bounds for derivatives of central Gaussian semigroups on compact groups ⋮ Central Gaussian semigroups of measures with continuous density ⋮ CENTRAL GAUSSIAN CONVOLUTION SEMIGROUPS ON COMPACT GROUPS: A SURVEY

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