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Generalized Appell Systems

Yuri Kondratiev·Jose Luis Silva·Ludwig Streit
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Abstract

We give a general approach to infinite dimensional non-Gaussian analysis which generalizes the work \cite{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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Yuri Kondratiev, Jose Luis Silva, Ludwig Streit. 1999-08-07. Generalized Appell Systems. https://arxiv.org/abs/math/9908032

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