Author | : Giuseppe Da Prato |
File Size | : 47,9 Mb |
Publisher | : Springer Science & Business Media |
Language | : English |
Release Date | : 25 August 2006 |
ISBN | : 9783540290216 |
Pages | : 208 pages |
An Introduction to Infinite Dimensional Analysis by Giuseppe Da Prato Book PDF Summary
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.