Analysis on Poisson and Gamma spaces

Details Analysis on Poisson and Gamma spaces Analysis on Poisson and Gamma spaces

1999-08-07

arxiv.org/abs/math/9908033v1

Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 1 N.1, p.91--117, 1998

Mathematics

Functional Analysis

34 pages

Scientific paper

We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of a general approach to non-Gaussian white noise calculus, see \cite{KSS96}. We use a known unitary isomorphism between Poisson and compound Poisson spaces in order to transport analytic structures from Poisson space to compound Poisson space. Finally we study a Fock type structure of chaos decomposition on Gamma space.

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