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Abstract Wiener processes and their reproducing Kernel Hilbert spaces
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971Abstract : The paper explores the relationship between Gaussian processes and their associated RKH Spaces. A simple proof of Gross's theorem on abstract Wiener spaces is given. For a Gaussian measure mu with continuous covariance R defined on the Banach space C(T) of real continuous functions on T (T being a separable complete metric space) it is shown
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Ukrainian Mathematical Journal, 1987
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}
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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}
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A Liouville Theorem for Abstract Wiener Spaces
American Journal of Mathematics, 1973openaire +2 more sources

