An Introduction to Infinite Dimensional Analysis (Publications of the Scuola Normale Superiore) - Softcover

Buch 30 von 261: Universitext

Da Prato, Giuseppe

 
9788876423093: An Introduction to Infinite Dimensional Analysis (Publications of the Scuola Normale Superiore)

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Inhaltsangabe

The lectures this volume collects were designed for an audience having basic knowledge of Functional Analysis and Measure Theory, but not familiar with Probability. The main aim is to give an introduction to Analysis in separable infinite-dimensional Hilbert spaces. The arguments the book deals with are: Gaussian measures, reproducing kernels, Cameron-Martin formula, Brownian motion, Wiener integral, invariant measures, ergodicity, mixing, Ito-Wiener decomposition.

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