English

Generating functions in Riesz spaces

Functional Analysis 2022-12-02 v1

Abstract

We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectatnion operator. This allows to study discrete processes in free-measure setting. In particular we improve a result obtained by Kuo, Vardy and Watson concerning Poisson approximation.

Keywords

Cite

@article{arxiv.2212.00673,
  title  = {Generating functions in Riesz spaces},
  author = {Youssef Azouzi and Youssef Nasri},
  journal= {arXiv preprint arXiv:2212.00673},
  year   = {2022}
}
R2 v1 2026-06-28T07:19:39.716Z