Invariant local Dirichlet forms on locally compact groups
type: Item
instance of: scholarly article
title: Invariant local Dirichlet forms on locally compact groups
zbMATH Open document ID: 1048.60061
author: A. Bendikov
author: Laurent Saloff-Coste
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2004-06-14T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73581
review text: Let \(G\) be a locally compact connected locally connected metric group (typically infinite-dimen\-sional). The authors prove the existence of Gaussian (symmetric) convolution semigroups of measures \((\mu_t)_{t>0}\) on \(G\) such that \(\mu_t\) is absolutely continuous with respect to \(\nu_{\text{r}}\) (resp. \(\nu_{\text{l}}\)), the right (resp. left) invariant Haar measure. To do this, the authors use the projective structure and the local Dirichlet spaces on \(L^2(G)\). Moreover, estimations for the associated continuous densities are obtained.
reviewed by: Mohamed Hmissi
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 2074270
zbMATH Keywords: infinite-dimensional locally compact group
zbMATH Keywords: local Dirichlet space
zbMATH Keywords: projection structure
zbMATH Keywords: continuous density
zbMATH Keywords: estimation
MaRDI profile type: Publication
OpenAlex ID: W2319713603
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DOI: 10.5802/AFST.1026
description: scientific article; zbMATH DE number 2074270