Laplace operators and diffusions in tangent bundles over Poisson spaces

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Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on 1-forms and associated semigroups are considered. Their probabilistic interpretation is given.

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Probability, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/115409

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608337
 http://arxiv.org/abs/math/0608337
 Published in "Infinite Dimensional Stochastic Analysis, Proceedings of the Colloquium, Amsterdam, 11-12 February 1999" (Ph. Clement et al, eds.), pp 1-24, Netherlands Academy of Arts and Sciences, Amsterdam, 2000

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arXiv