English

Generalized Appell Systems

Functional Analysis 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9908032,
  title  = {Generalized Appell Systems},
  author = {Yuri Kondratiev and Jose Luis Silva and Ludwig Streit},
  journal= {arXiv preprint arXiv:math/9908032},
  year   = {2007}
}

Comments

50 pages