Finite speed of propagation and off-diagonal bounds for Ornstein?Uhlenbeck operators in infinite dimensions
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van Neerven, Jan; Portal, Pierre
Description
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]
Collections | ANU Research Publications |
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Date published: | 2015 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/98646 |
Source: | Annali di Matematica Pura ed Applicata |
DOI: | 10.1007/s10231-015-0541-8 |
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