Positive generalized Wiener functions and potential theory over abstract Wiener spaces

Publication date: 25 June 1992

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Sobolev spaces abstract Wiener spaces Malliavin's calculus equilibrium measures Ornstein-Uhlenbeck semigroup generalized Wiener functionals capacities related to Sobolev spaces Gaussian measure in a real separable Banach space infinite-dimensional analog of the Riesz potential Ornstein--Uhlenbeck projector positive generalized Wiener functionals are measures square- exponential integrability Wiener homogeneous chaos decomposition

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stochastic calculus of variations and the Malliavin calculus (60H07) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25) Applications of operator theory in probability theory and statistics (47N30)

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