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arxiv: math/0211196 · v1 · submitted 2002-11-13 · 🧮 math.FA

Generalized Functions in Infinite Dimensional Analysis

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keywords analysisdimensionalinfinitemeasuresapproachderivativeframeworkfunctions
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We give a general approach to infinite dimensional non-Gaussian Analysis for measures which need not have a logarithmic derivative. This framework also includes the possibility to handle measures of Poisson type.

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    Introduces degenerate Krawtchouk Appell polynomials associated with the degenerate Pascal measure and studies their combinatorial properties plus links to Stirling numbers, scaling/translation operators, and orthogona...