Some results on quasi-invariant measures on infinite-dimensional spaces

DOI10.1215/kjm/1250521909zbMath0477.28009OpenAlexW1548967441MaRDI QIDQ1160768

Hiroaki Shimomura

Publication date: 1981

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521909

zbMATH Keywords

characteristic functioncotypeGaussian measurepre-Hilbert spacedually- admissible spaceKakutani's metricLo-imbeddable Banach spacequasi-invariant measure on linear space

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Geometry and structure of normed linear spaces (46B20) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (6)

The ergodicity of the convolution \(\mu\) *\(\nu\) on a vector space ⋮ On the continuity space of product measure ⋮ An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\) ⋮ Spaces of quasi-invariance of product measures ⋮ Canonical representations generated by translationally quasi-invariant measures ⋮ Differentiable measures and the Malliavin calculus

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