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VOL. 3 | 2002 Weitzenböck Formulas on Poisson Probability Spaces

Abstract

This paper surveys and compares some recent approaches to stochastic infinite-dimensional geometry on the space $\Gamma$ of configurations (i. e. locally finite subsets) of a Riemannian manifold $M$ under Poisson measures. In particular, different approaches to Bochner–Weitzenböck formulas are considered. A unitary transform is also introduced by mapping functions of $n$ configuration points to their multiple stochastic integral.

Information

Published: 1 January 2002
First available in Project Euclid: 12 June 2015

zbMATH: 1003.60092
MathSciNet: MR1884862

Digital Object Identifier: 10.7546/giq-3-2002-382-394

Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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