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Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion
Engelsk
Bogcover for Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion af Horst Osswald, 9781107016149
Specifikationer
Sprog:
Engelsk
Sider:
428
ISBN-13:
9781107016149
Indbinding:
Hardback
ISBN-10:
1107016142
Udg. Dato:
1 mar 2012
Størrelse i cm:
23,4 x 15,4 x 2,6
Oplagsdato:
1 mar 2012
Forfatter(e):

Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion

Engelsk
Hardback 2012
Format:

Bog beskrivelse
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, Lévy 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.
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Specifikationer
Sprog:
Engelsk
Sider:
428
ISBN-13:
9781107016149
Indbinding:
Hardback
ISBN-10:
1107016142
Udg. Dato:
1 mar 2012
Størrelse i cm:
23,4 x 15,4 x 2,6
Oplagsdato:
1 mar 2012
Forfatter(e):
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