Discussions on heat kernel measure and pinned Wiener measure
type: Item
instance of: scholarly article
title: Discussions on heat kernel measure and pinned Wiener measure
zbMATH Open document ID: 0996.58012
DOI: 10.1007/BF02671135
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2001-05-03T00:00:00Z
review text: The author proves the non-coincidence of the heat kernel measure and the Wiener measure on compact simply connected Lie groups, i.e. by showing that the former is not absolutely continuous with respect to the Wiener measure.
reviewed by: Kenro Furutani
Mathematics Subject Classification ID: 58D20
Mathematics Subject Classification ID: 58C35
zbMATH DE Number: 1558295
zbMATH Keywords: Sobolev inequality
zbMATH Keywords: compact Lie group
zbMATH Keywords: heat kernel measure
zbMATH Keywords: Wiener measure
author: Kai-Nan Xiang
MaRDI profile type: Publication
cites work: Logarithmic Sobolev inequalities for pinned loop groups
cites work: Q4732701
cites work: Logarithmic Sobolev inequalities on loop groups
cites work: Integration on loop groups. II: Heat equation for the Wiener measure
full work available at URL: https://doi.org/10.1007/bf02671135
OpenAlex ID: W115833365
description: scientific article; zbMATH DE number 1558295