Translationally invariant measure on the infinite dimensional vector space

DOI10.2977/prims/1195186926zbMath0475.28007OpenAlexW2006640708MaRDI QIDQ1159780

Yasuo Yamasaki

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195186926

zbMATH Keywords

Gaussian measurestranslational invariance

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (max. 100)

Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ Quasi-invariance of measures on an infinite dimensional vector space and the continuity of the characteristic functions ⋮ On Kharazishvili type measures in infinite-dimensional Polish vector spaces ⋮ Existence and uniqueness of translation invariant measures in separable Banach spaces

Cites Work

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• Kolmogorov's extension theorem for infinite measures
• An aspect of quasi-invariant measures on \(R^\infty\)
• Linear transformation of quasi-invariant measures
• Measures on infinite dimensional vector spaces
• On the Density of One Gaussian Measure with Respect to Another

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