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Stochastic Analysis

illustrated Edition

Ichiro Shigekawa (author)

ISBN: 9780821826263

Publication Date: May 2004

Format: Paperback

Also available as: Hardback  

Stochastic analysis is often understood as the analysis of functionals defined on the Wiener space - the space on which the Wiener process is realized. Since the Wiener space is infinite-dimensional, it requires a special calculus, the so-called Malliavin calculus. This book presents an introduction to the Malliavin calculus.
£52.50

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Stochastic analysis is often understood as the analysis of functionals defined on the Wiener space, i.e., the space on which the Wiener process is realized. Since the Wiener space is infinite-dimensional, it requires a special calculus, the so-called Malliavin calculus. This book provides readers with a concise introduction to stochastic analysis, in particular, to the Malliavin calculus. It contains a detailed description of all the technical tools necessary to describe the theory, such as the Wiener process, the Ornstein-Uhlenbeck process, and Sobolev spaces. It also presents applications of stochastic calculus to the study of stochastic differential equations. The volume is suitable for graduate students and research mathematicians interested in probability and random processes.
Illustrations illustrations
Pages 200
Date Published 30 May 2004
Publisher American Mathematical Society
Series Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics)
Series Part No. 224
Subject/s Probability & statistics   Stochastics  
Wiener space Orenstein-Uhlenbeck process The Littlewood-Paley-Stein inequality Sobolev spaces on an abstrct Wiener space Absolute continuity of distributions and smoothness of density functions Application to stochastic differential equations Perspectives on current research Bibliography Index.

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