English

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

funct-an 2008-02-03 v1 Functional Analysis Spectral Theory

Abstract

We introduce and study dual n1n_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, SS-transform, characterization theorems etc. The results we obtained are useful to application in the theory of probability.

Cite

@article{arxiv.funct-an/9702008,
  title  = {Dual $n_1$-Appell-like Systems in Infinite-Dimensional Analysis},
  author = {N. A. Kachanovsky},
  journal= {arXiv preprint arXiv:funct-an/9702008},
  year   = {2008}
}

Comments

5 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutionary Problems (September, 18--29, 1996, Sevastopol, Ukraine)

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