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arXiv:2007.12491 [math.PR]AbstractReferencesReviewsResources

A note on the carré du champ on the Poisson space

Ronan Herry

Published 2020-07-24Version 1

The goal of this short note is to establish, in complete generality, the representation for the carr\'e du champ operator associated with the Ornstein-Uhlenbeck semi-group on the Poisson space in terms of the add-one and drop-one operators.

Comments: 6 pages, comments are welcome. Originally part of arXiv:1910.10181 that has been split in two parts
Categories: math.PR, math.FA
Subjects: 60G55, 60H07, 60J46
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