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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
openaire   +1 more source

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}
openaire   +2 more sources

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Responsive materials architected in space and time

Nature Reviews Materials, 2022
Xiaoxing Xia   +2 more
exaly  

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
exaly  

Ab Initio Machine Learning in Chemical Compound Space

Chemical Reviews, 2021
Bing Huang, O Anatole Von Lilienfeld
exaly  

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