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Generalized Appell Systems

Yuri Kondratiev, Jose Luis Silva, Ludwig Streit

math.FAarXiv:math/9908032

Abstract

We give a general approach to infinite dimensional non-Gaussian analysis which generalizes the work KSWY95. 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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