An aspect of quasi-invariant measures on \(R^\infty\)

DOI10.2977/prims/1195191145zbMath0335.28012OpenAlexW1713708003MaRDI QIDQ1229311

Hiroaki Shimomura

Publication date: 1976

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/1195191145

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Sequence spaces (including Köthe sequence spaces) (46A45) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (8)

On the continuity space of product measure ⋮ An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\) ⋮ Quasi-invariant measures on commutative Lie groups of infinite product type ⋮ Translationally invariant measure on the infinite dimensional vector space ⋮ Quasi-invariant measures on the infinite product of \(SU(2)\) ⋮ Spaces of quasi-invariance of product measures ⋮ Sets of admissible shifts of convex measures ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Equivalence and perpendicularity of Gaussian processes
• Some new examples of quasi-invariant measures on a Hilbert space
• On equivalence of infinite product measures
• Measures on infinite dimensional vector spaces
• Unnamed Item

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