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Generating functions in Riesz spaces

2022/12/01 by Youssef Azouzi, Azouzi, Youssef, Youssef Nasri +1
Economics, Econometrics and Finance · Mathematics · #60E05 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2212.00673

openalex publication_date 2022/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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