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Extension of the Cameron-Martin theorem to random translations

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Publication:5907090
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DOI10.1214/aop/1055425780zbMath1051.60039OpenAlexW2012245700MaRDI QIDQ5907090

Xavier Fernique

Publication date: 10 June 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1055425780


zbMATH Keywords

Cameron-Martin theoremabsolute continuityWiener spacerandom translationGaussian probability


Mathematics Subject Classification ID

Gaussian processes (60G15) Measure-preserving transformations (28D05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Continuity and singularity of induced measures (60G30)


Related Items (2)

Convexity inequalities and optimal transport of infinite-dimensional measures ⋮ Invertibility of adapted perturbations of the identity on abstract Wiener space




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