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White noise in space and time and the cylindrical wiener process

✍ Scribed by Schaumlöffel, Kay-Uwe

Book ID
111958039
Publisher
Taylor and Francis Group
Year
1988
Tongue
English
Weight
268 KB
Volume
6
Category
Article
ISSN
0736-2994

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In this paper we develop basic elements of Malliavin calculus on a weighted L 2 (0). This class of generalized Wiener functionals is a Hilbert space. It turns out to be substantially smaller than the space of Hida distributions while large enough to accommodate solutions of bilinear stochastic PDEs.