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Paperback An Introduction to Infinite-Dimensional Analysis Book

ISBN: 3540290206

ISBN13: 9783540290209

An Introduction to Infinite-Dimensional Analysis

Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention...

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