An Introduction to Infinite-Dimensional Analysis

Gebonden Engels 2006 2006e druk 9783540290209
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Samenvatting

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 to their long-time behavior.

Specificaties

ISBN13:9783540290209
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:204
Uitgever:Springer Berlin Heidelberg
Druk:2006

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Inhoudsopgave

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.

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€ 60,99
Levertijd ongeveer 9 werkdagen
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        An Introduction to Infinite-Dimensional Analysis