An Introduction to Infinite-Dimensional Analysis (Universitext)

Da Prato, Giuseppe

ISBN 10: 3540290206 / ISBN 13: 9783540290209

Verlag: Springer, 2006

Beschreibung

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Bestandsnummer des Verkäufers SHUB266449

Bibliografische Details

• Titel: An Introduction to Infinite-Dimensional Analysis (Universitext)
• Verlag: Springer
• Erscheinungsjahr: 2006
• Sprache: Englisch
• ISBN-10: 3540290206
• ISBN-13: 9783540290209
• Einband: Softcover
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

GIUSEPPE DA PRATO was born in La Spezia in 1936. Having graduated in Physics in 1960 from the University of Rome, he became full professor of Mathematics in 1968 and taught in Rome and in Trento. Since 1979 he has been Professor of Mathematical Analysis at the Scuola Normale Superiore di Pisa.

The scientific activity of Giuseppe Da Prato concerns infinite-dimensional analysis and partial differential stochastic equations (existence, uniqueness, invariant measures, ergodicity), with applications to optimal stochastic control.

Giuseppe Da Prato is the author of 5 other books, some co-authored with other international specialists, on control theory, stochastic differential equations and infinite dimensional Kolmogorov equations, and of more than 250 papers in international scientific journals.