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Generalized Appell Systems

1999/08/07 by Yuri Kondratiev, Jose Luis Silva, Ludwig Streit
Mathematics · #math.FA

paper · pdf

published as Methods of Functional Analysis and Topology, 3(3), pp.28-61, 1997 · 50 pages

arxiv created 1999/08/07 · arxiv updated 2009/11/30

Abstract

We give a general approach to infinite dimensional non-Gaussian analysis which generalizes the work \citeKSWY95. For given measure we construct a family of biorthogonal systems. We study their properties and their Gel'fand triples that they generate. As an example we consider the measures of Poisson type.

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