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Differentiable Measures and the Malliavin Calculus
Language: en
Pages: 506
Authors: Vladimir Igorevich Bogachev
Categories: Mathematics
Type: BOOK - Published: 2010-07-21 - Publisher: American Mathematical Soc.

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This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the fini
Introduction to Malliavin Calculus
Language: en
Pages: 249
Authors: David Nualart
Categories: Business & Economics
Type: BOOK - Published: 2018-09-27 - Publisher: Cambridge University Press

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A compact introduction to this active and powerful area of research, combining basic theory, core techniques, and recent applications.
Gaussian Measures
Language: en
Pages: 450
Authors: Vladimir I. Bogachev
Categories: Mathematics
Type: BOOK - Published: 2015-01-26 - Publisher: American Mathematical Soc.

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This book gives a systematic exposition of the modern theory of Gaussian measures. It presents with complete and detailed proofs fundamental facts about finite
The Malliavin Calculus
Language: en
Pages: 124
Authors: Denis R. Bell
Categories: Mathematics
Type: BOOK - Published: 2012-12-03 - Publisher: Courier Corporation

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This introductory text presents detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between
The Extended Stochastic Integral in Linear Spaces with Differentiable Measures and Related Topics
Language: en
Pages: 280
Authors: Nicolai Victorovich Norin
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: World Scientific

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This volume discusses the extended stochastic integral (ESI) (or Skorokhod-Hitsuda Integral) and its relation to the logarithmic derivative of differentiable me