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Finite speed of propagation and off-diagonal bounds for Ornstein?Uhlenbeck operators in infinite dimensions

van Neerven, Jan; Portal, Pierre


We study the Hodge–Dirac operators (Formula presented.) associated with a class of non-symmetric Ornstein–Uhlenbeck operators (Formula presented.) in infinite dimensions. For (Formula presented.) we prove that (Formula presented.) generates a (Formula presented.)-group in (Formula presented.) with respect to the invariant measure if and only if (Formula presented.) and (Formula presented.) is self-adjoint. An explicit representation of this (Formula presented.)-group in (Formula presented.) is...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Annali di Matematica Pura ed Applicata
DOI: 10.1007/s10231-015-0541-8


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