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On the relationship between differentiability and absolute continuity of measures on \({\mathbb{R}}^ n\)

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Publication:1065956
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DOI10.1007/BF00334194zbMath0577.28001MaRDI QIDQ1065956

Denis R. Bell

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

directional derivativesRadon-Nikodým derivativeabsolute continuitydifferentiable measurefinite Borel measure


Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Abstract differentiation theory, differentiation of set functions (28A15)


Related Items (3)

A Gibson approach to infinite-dimensional Brownian diffusions ⋮ On the equivalence of the properties of quasi-translation invariance and absolute continuity of measures on a locally compact abelian group ⋮ Riesz transform and integration by parts formulas for random variables



Cites Work

  • Unnamed Item
  • A Quasi-Invariance Theorem for Measures on Banach Spaces


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