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Abstract Wiener processes and their reproducing Kernel Hilbert spaces

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971
Abstract : 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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Transformations of an abstract Wiener integral in an infinite product of abstract wiener spaces under linear transformations of the space

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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