Linear transformation of quasi-invariant measures

DOI10.2977/prims/1195190378zbMath0359.28011OpenAlexW2083948939MaRDI QIDQ1238909

Hiroaki Shimomura

Publication date: 1977

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/1195190378

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) 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 (2)

Translationally invariant measure on the infinite dimensional vector space ⋮ Ergodic decomposition of quasi-invariant measures

Cites Work

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• Equivalence and perpendicularity of Gaussian processes
• On the construction of invariant measure over the orthogonal group on the Hilbert space by the method of Cayley transformation
• Some new examples of quasi-invariant measures on a Hilbert space
• On equivalence of infinite product measures
• Measures on infinite dimensional vector spaces
• On Admissible Translations of Measures in Hilbert Space

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