Heat kernel analysis on semi-infinite Lie groups

Simple item page
dc.creatorMelcher, Tai
dc.date2009-02-14
dc.date.accessioned2026-07-07T12:42:07Z
dc.date.available2026-07-07T12:42:07Z
dc.descriptionThis paper studies Brownian motion and heat kernel measure on a class of infinite dimensional Lie groups. We prove a Cameron-Martin type quasi-invariance theorem for the heat kernel measure and give estimates on the $L^p$ norms of the Radon-Nikodym derivatives. We also prove that a logarithmic Sobolev inequality holds in this setting.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0902.2500
dc.identifierhttp://arxiv.org/abs/0902.2500
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219969
dc.subjectProbability
dc.subjectDifferential Geometry
dc.subject60J65 28D05 (Primary); 58J65 22E65 (Secondary)
dc.titleHeat kernel analysis on semi-infinite Lie groups
dc.typetext

Files

Collections

arXiv