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The Malliavin calculus and related topics

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  • 382pages
  • 14 heures de lecture

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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.

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The Malliavin calculus and related topics, David Nualart

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Année de publication
2006
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Langue
Anglais
Éditeur
Springer
Publié
2006
Format
rigide
Pages
382
ISBN10
3540283285
ISBN13
9783540283287
Séries
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4 sur 5
Description
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.