scientific article

zbMath0431.28011MaRDI QIDQ3868025

Alexander Hertle

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

desintegrationWiener spaceGaussian stochastic processFubini integration in Hilbert spaceGaussian surface integral formulasGaussian surface measuresnuclear injective covariance operatorRadon transform on Banach spaces

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integration on manifolds; measures on manifolds (58C35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

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Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space ⋮ The Gaussian limit for high-dimensional spherical means ⋮ Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space ⋮ The Gaussian Radon transform as a limit of spherical transforms ⋮ Surface measures in infinite dimension ⋮ On the space of BV functions and a related stochastic calculus in infinite dimensions ⋮ On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces ⋮ Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II. ⋮ Differentiable measures and the Malliavin calculus

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