On infinite products of non-Archimedean measure spaces (Q1866465)
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scientific article; zbMATH DE number 1893638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On infinite products of non-Archimedean measure spaces |
scientific article; zbMATH DE number 1893638 |
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On infinite products of non-Archimedean measure spaces (English)
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25 August 2003
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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.
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non-Archimedean measure spaces
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Kolmogorov theorem
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existence of probability measures
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cylindrical measures
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product measures
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