A note on the carr\'e du champ on the Poisson space
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.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.2007.12491 |