Transformations of an abstract Wiener integral in an infinite product of abstract Wiener spaces under linear transformations of the space (Q1095272)
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scientific article; zbMATH DE number 4027802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transformations of an abstract Wiener integral in an infinite product of abstract Wiener spaces under linear transformations of the space |
scientific article; zbMATH DE number 4027802 |
Statements
Transformations of an abstract Wiener integral in an infinite product of abstract Wiener spaces under linear transformations of the space (English)
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1986
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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.
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Wiener measure
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infinite product of spaces of continuous functions of several variables
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abstract Wiener spaces
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abstract Wiener integral
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