Stone-Weierstrass定理在概率论中的灵活应用

Journal of Mathematical Facts and short papers Pub Date : 2019-01-01 DOI:10.16929/jmfsp/2019.43.006

G. Lo, Lois Chinwendu Okoreke

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引用次数: 1

摘要

在应用经典的Stone-Weierstrass通用版本时，例如在概率论和其他领域，如果紧集的所有点不分离，可能会出现一些问题。解决方案可能包括回到证明并找到替代版本。在这篇文章中，我们使用了两个灵活的版本，它们很容易用于概率论的需要。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A flexible application of the Stone-Weierstrass Theorem in General and Application in Probability Theory

When applying the classical Stone-Weierstrass common version in Probability Theory for example but in other fields also, some problems may arise if all points of the compact set are not separated. A solution may consist in going back to the proof and finding alternative versions. In this note, we did it and come back with two flexible versions which are easily used for the needs of Probability Theory.

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Journal of Mathematical Facts and short papers

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