Bochner's theorem on measurable linear functionals of a Gaussian measure

DOI10.1214/AOP/1176994372zbMath0458.28014OpenAlexW1986922029MaRDI QIDQ1151472

Yoshiaki Okazaki

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1214/aop/1176994372

zbMATH Keywords

abstract Wiener spaceRadon measureBochner's theoremGaussian measurecotype 2random linear functional2-summing operatorcontinuous cylinder set measuremeasurable linear functional

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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