An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\)

DOI10.2977/prims/1195176033zbMath0651.60005OpenAlexW905764886MaRDI QIDQ1106536

Hiroaki Shimomura

Publication date: 1987

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/1195176033

zbMATH Keywords

Orlicz functiondifferentiable measuredifferentiable shiftmeasures on infinite dimensional spacesOrlicz sequencetranslational- quasi-invariance

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

Related Items (5)

On the integrability of logarithmic derivatives of measures. ⋮ On a Banach space of functions associated with a homogeneous additive process ⋮ Quasi-invariant measures on commutative Lie groups of infinite product type ⋮ On the distributions of logarithmic derivative of differentiable measures on \({\mathbb{R}}\) ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Unnamed Item
• Differentiable shifts for measures on infinite dimensional spaces
• Some results on quasi-invariant measures on infinite-dimensional spaces
• An aspect of quasi-invariant measures on \(R^\infty\)
• Ergodic decomposition of quasi-invariant measures

This page was built for publication: An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\)