Existence of infinite product measures

DOI10.14321/REALANALEXCH.48.2.1643257005arXiv1705.01621MaRDI QIDQ6183672

Juan Carlos Sampedro

Publication date: 4 January 2024

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01621

zbMATH Keywords

Carathéodory extension theoreminfinite product measures

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measures and integrals in product spaces (28A35)

Cites Work

• On ordinary and standard products of infinite family of \(\sigma \)-finite measures and some of their applications
• Infinite products of infinite measures
• "Lebesgue Measure" on R ∞
• A Proof of the Existence of Infinite Product Probability Measures
• Sur la théorie de la mesure dans les espaces combinatoires et son application au calcul des probabilités. I. Variables indépendantes
• “Lebesgue measure” on ℝ^{∞}, II
• General Product Measures
• Notes on infinite product measure spaces, I
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