Yoshiaki Okazaki
Abstract
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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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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 $H'$.
Key concepts: Mathematics, Classical Wiener space, Measure (data warehouse), Gaussian measure, Integral representation theorem for classical Wiener space, Radon measure, Bochner space, Mathematical analysis