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An Introduction to Infinite-Dimensional Analysis 2006 Edition Contributor(s): Da Prato, Giuseppe (Author) |
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ISBN: 3642421687 ISBN-13: 9783642421686 Publisher: Springer
Binding Type: Paperback - See All Available Formats & Editions Published: November 2014 Click for more in this series: Universitext |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Mathematical Analysis - Mathematics | Differential Equations - General |
Dewey: 530.8 |
Series: Universitext |
Physical Information: 0.47" H x 6.14" W x 9.21" L (0.70 lbs) 208 pages |
Descriptions, Reviews, Etc. |
Publisher 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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