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An Introduction to Infinite-Dimensional Analysis

515.7

Prato, Giuseppe Da. An Introduction to Infinite-Dimensional Analysis by Giuseppe Da Prato. -
X, 208 p. online resource. - (Universitext, ) Content notes : Gaussian measures in Hilbert spaces -- The Cameron–Martin formula -- Brownian motion -- Stochastic perturbations of a dynamical system -- Invariant measures for Markov semigroups -- Weak convergence of measures -- Existence and uniqueness of invariant measures -- Examples of Markov semigroups -- L2 spaces with respect to a Gaussian measure -- Sobolev spaces for a Gaussian measure -- Gradient systems. 9783540290216 * Functional analysis. Distribution (Probability theory. Differential equations, partial. Functional Analysis. Probability Theory and Stochastic Processes. Partial Differential Equations. * Series

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