Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion (e-bog) af Osswald, Horst
Osswald, Horst (forfatter)

Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion e-bog

875,33 DKK (inkl. moms 1094,16 DKK)
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 a...
E-bog 875,33 DKK
Forfattere Osswald, Horst (forfatter)
Udgivet 7 marts 2012
Genrer PBCD
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9781139227865
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.