The Malliavin Calculus and Related Topics
Autor: | David Nualart |
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EAN: | 9783540283294 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 27.02.2006 |
Kategorie: | |
Schlagworte: | Anticipating stochastic calculus Brownian motion Gaussian processes Girsanov theorem Malliavin Calculus Markov processes Markov property Skorohod integral Stochastic differential equations Stochastic partial differential equations fractiona |
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The Malliavin calculus is an infinite-dimensional differential calculus on a Gaussian space, developed to provide a probabilistic proof to Hörmander's sum of squares theorem but has found a range of applications in stochastic analysis. This book presents the features of Malliavin calculus and discusses its main applications. This second edition includes recent applications in finance and a chapter devoted to the stochastic calculus with respect to the fractional Brownian motion.