Dual $n_1$-Appell-like Systems in Infinite-Dimensional Analysis

Details Dual $n_1$-Appell-like Systems in Infinite-Dimensional Analysis Dual $n_1$-Appell-like Systems in Infinite-Dimensional Analysis

1997-02-12

arxiv.org/abs/funct-an/9702008v1

Mathematics

Functional Analysis

5 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutio

Scientific paper

We introduce and study dual $n_1$-Appell-like systems which are the simple
generalization of generalized dual Appell systems in Infinite-Dimensional
Analysis (IDA). We study connected with these systems objects of IDA: the
analogues of Kondratiev spaces, $S$-transform, characterization theorems etc.
The results we obtained are useful to application in the theory of probability.

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