Transformations of an abstract Wiener integral in an infinite product of abstract wiener spaces under linear transformations of the space
Copyright policy )Transformations of an abstract Wiener integral in an infinite product of abstract wiener spaces under linear transformations of the space
The Wiener measure in an infinite product of spaces of continuous functions of several variables has been investigated by \textit{P. P. Kozak} and \textit{Ya. M. Chabanyuk} [Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No.9, 68-71 (1981; Zbl 0482.28025)], while in an infinite Cartesian product of abstract Wiener spaces by the author and \textit{P. P. Kozak} [Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No.7, 9-11 (1985; Zbl 0589.28010)]. This note is devoted to the transformations of an abstract Wiener integral in an infinite product of spaces, considered in the Bochner sense, under linear transformations of the space.
- Perm National Research Polytechnic University Russian Federation
infinite product of spaces of continuous functions of several variables, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), abstract Wiener spaces, Wiener measure, abstract Wiener integral
infinite product of spaces of continuous functions of several variables, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), abstract Wiener spaces, Wiener measure, abstract Wiener integral
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