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Titlebook: The Malliavin Calculus and Related Topics; David Nualart Book 2006Latest edition Springer-Verlag Berlin Heidelberg 2006 Anticipating stoch

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書目名稱The Malliavin Calculus and Related Topics
編輯David Nualart
視頻videohttp://file.papertrans.cn/914/913522/913522.mp4
概述Can be used as a basis of a lecture course on Malliavin Calculus, because the exposition, being self-contained, is quite accessible.Contains a great number of exercises.A survey of the applications of
叢書名稱Probability and Its Applications
圖書封面Titlebook: The Malliavin Calculus and Related Topics;  David Nualart Book 2006Latest edition Springer-Verlag Berlin Heidelberg 2006 Anticipating stoch
描述There have been ten years since the publication of the ?rst edition of this book. Since then, new applications and developments of the Malliavin c- culus have appeared. In preparing this second edition we have taken into account some of these new applications, and in this spirit, the book has two additional chapters that deal with the following two topics: Fractional Brownian motion and Mathematical Finance. The presentation of the Malliavin calculus has been slightly modi?ed at some points, where we have taken advantage of the material from the lecturesgiveninSaintFlourin1995(seereference[248]).Themainchanges and additional material are the following: In Chapter 1, the derivative and divergence operators are introduced in the framework of an isonormal Gaussian process associated with a general 2 Hilbert space H. The case where H is an L -space is trated in detail aft- s,p wards (white noise case). The Sobolev spaces D , with s is an arbitrary real number, are introduced following Watanabe’s work. Chapter2includesageneralestimateforthedensityofaone-dimensional random variable, with application to stochastic integrals. Also, the c- position of tempered distributions with nondegenera
出版日期Book 2006Latest edition
關鍵詞Anticipating stochastic calculus; Brownian motion; Gaussian processes; Girsanov theorem; Malliavin Calcu
版次2
doihttps://doi.org/10.1007/3-540-28329-3
isbn_softcover978-3-642-06651-1
isbn_ebook978-3-540-28329-4Series ISSN 1431-7028
issn_series 1431-7028
copyrightSpringer-Verlag Berlin Heidelberg 2006
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Probability and Its Applicationshttp://image.papertrans.cn/t/image/913522.jpg
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https://doi.org/10.1007/3-540-28329-3Anticipating stochastic calculus; Brownian motion; Gaussian processes; Girsanov theorem; Malliavin Calcu
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David NualartCan be used as a basis of a lecture course on Malliavin Calculus, because the exposition, being self-contained, is quite accessible.Contains a great number of exercises.A survey of the applications of
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978-3-642-06651-1Springer-Verlag Berlin Heidelberg 2006
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The Malliavin Calculus and Related Topics978-3-540-28329-4Series ISSN 1431-7028
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