The Ornstein-Uhlenbeck semigroup in an infinite dimensional L\(^2\) setting
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Publication:1213527
DOI10.1016/0022-1236(75)90016-6zbMath0296.28009OpenAlexW2057696125MaRDI QIDQ1213527
Publication date: 1975
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(75)90016-6
Groups and semigroups of linear operators (47D03) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Second-order parabolic equations (35K10)
Related Items (17)
Gaussian measures on linear spaces ⋮ The spaces of trial and generalized functions of infinite number of variables ⋮ Applications of the Fourier-Wiener transform to differential equations on infinite dimensional spaces. II ⋮ Integral transforms of analytic functions on abstract Wiener spaces ⋮ Infinite-dimensional Kolmogorov equations in gauss-sobolev spaces ⋮ On infinite series of independent Ornstein-Uhlenbeck processes ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ On Stein's method for infinite-dimensional Gaussian approximation in abstract Wiener spaces ⋮ Smooth functions on Banach spaces ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Potential theory associated with Uhlenbeck-Ornstein process ⋮ Functional limit theorems for the infinite series of OU processes in Hölder norm ⋮ The exterior algebra for Wiemann manifolds ⋮ Calcul d'intégrales et de dérivées en dimension infinie ⋮ Differentiable measures and the Malliavin calculus ⋮ On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces ⋮ Eigenfunction expansions for infinite dimensional Ornstein-Uhlenbeck processes
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