Analysis on Poisson and Gamma spaces

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dc.creatorKondratiev, Yuri
dc.creatorSilva, Jose Luis
dc.creatorStreit, Ludwig
dc.creatorUs, Georgi
dc.date1999-08-07
dc.date.accessioned2026-07-07T05:30:14Z
dc.date.available2026-07-07T05:30:14Z
dc.descriptionWe 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.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/9908033
dc.identifierhttp://arxiv.org/abs/math/9908033
dc.identifierInfinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 1 N.1, p.91--117, 1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78927
dc.subjectFunctional Analysis
dc.titleAnalysis on Poisson and Gamma spaces
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