On infinite products of non-Archimedean measure spaces
type: Item
instance of: scholarly article
title: On infinite products of non-Archimedean measure spaces
zbMATH Open document ID: 1017.60015
DOI: 10.1016/S0019-3577(02)80003-9
published in: Indagationes Mathematicae. New Series
publication date: 2003-08-25T00:00:00Z
review text: This paper contains the proof of one theorem that states that cylindrical distributions on the product of non-Archimedean probability spaces extend to non-Archimedean probability measures. This is intended to pave the way, in such a context, for the construction of probability spaces for infinite sequences of independent identically distributed random variables, and more generally for a version of Kolmogorov's theorem.
Mathematics Subject Classification ID: 60B99
zbMATH DE Number: 1893638
zbMATH Keywords: non-Archimedean measure spaces
zbMATH Keywords: Kolmogorov theorem
zbMATH Keywords: existence of probability measures
zbMATH Keywords: cylindrical measures
zbMATH Keywords: product measures
author: Andrei Khrennikov
author: Sergey V. Ludkovsky
reviewed by: A. F. Gualtierotti
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1893638