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August, 1981 Bochner's Theorem on Measurable Linear Functionals of a Gaussian Measure
Yoshiaki Okazaki
Ann. Probab. 9(4): 663-664 (August, 1981). DOI: 10.1214/aop/1176994372

Abstract

Bochner's theorem formulated by Xia Dao-Xing is established for an abstract Wiener space. Let $(\iota, H, E)$ be an abstract Wiener space. Then for every continuous cylinder set measure $\nu$ on $E'$, the image $\iota'(\nu)$ is a Radon measure on $H'$.

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Yoshiaki Okazaki. "Bochner's Theorem on Measurable Linear Functionals of a Gaussian Measure." Ann. Probab. 9 (4) 663 - 664, August, 1981. https://doi.org/10.1214/aop/1176994372

Information

Published: August, 1981
First available in Project Euclid: 19 April 2007

zbMATH: 0458.28014
MathSciNet: MR624693
Digital Object Identifier: 10.1214/aop/1176994372

Subjects:
Primary: 28A40
Secondary: 60B05

Rights: Copyright © 1981 Institute of Mathematical Statistics

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Vol.9 • No. 4 • August, 1981
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