An Introduction to Infinite-Dimensional Analysis by Giuseppe Da Prato
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.
2006 | ISBN-10: 3-540-29020-6 | ID: SC - 1204
SC - 1204 | An Introduction to Infinite-Dimensional Analysis
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SC:
1-100__101-200__201-300
301-400__401-500__501-600
601-700__701-800__801-900
901-1000__1001-1100__1101-1200
1201-1300__1301-1400__1401-1500
1501-1600__1601-1700__1701-1800
1801-1900__1901-2000
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