Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion (Hardcover, New)

Assuming only basic knowledge of probability theory and functional analysis, this book provides a self-contained introduction to Malliavin calculus and infinite-dimensional Brownian motion. In an effort to demystify a subject thought to be difficult, it exploits the framework of nonstandard analysis, which allows infinite-dimensional problems to be treated as finite-dimensional. The result is an intuitive, indeed enjoyable, development of both Malliavin calculus and nonstandard analysis. The main aspects of stochastic analysis and Malliavin calculus are incorporated into this simplifying framework. Topics covered include Brownian motion, Ornstein-Uhlenbeck processes both with values in abstract Wiener spaces, Levy processes, multiple stochastic integrals, chaos decomposition, Malliavin derivative, Clark-Ocone formula, Skorohod integral processes and Girsanov transformations. The careful exposition, which is neither too abstract nor too theoretical, makes this book accessible to graduate students, as well as to researchers interested in the techniques.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	March 2012
First published:	March 2012
Authors:	Horst Osswald
Dimensions:	234 x 158 x 27mm (L x W x T)
Format:	Hardcover
Pages:	428
Edition:	New
ISBN-13:	978-1-107-01614-9
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics
LSN:	1-107-01614-2
Barcode:	9781107016149

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