An Introduction to Infinite-Dimensional Analysis

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  • An Introduction to Infinite-Dimensional Analysis Book Detail

  • Author : Giuseppe Da Prato
  • Release Date : 2006-08-25
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 217
  • ISBN 13 : 3540290214
  • File Size : 57,57 MB

An Introduction to Infinite-Dimensional Analysis by Giuseppe Da Prato PDF Summary

Book Description: 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.

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