An Introduction to Analysis on Wiener Space (Lecture Notes in Mathematics, 1610)

Üstünel, Ali S.

ISBN 10: 3540601708 / ISBN 13: 9783540601708

Published by Springer, 1995

About this Item

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Bibliographic Details

• Title: An Introduction to Analysis on Wiener Space (Lecture Notes in Mathematics, 1610)
• Publisher: Springer
• Publication Date: 1995
• Language: English
• ISBN 10: 3540601708
• ISBN 13: 9783540601708
• Binding: Soft cover
• Condition: good

About this title

Synopsis

This book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. Although the latter deals essentially with the regularity of the laws of random varia- bles defined on the Wiener space, the book focuses on quite different subjects, i.e. independence, Ramer's theorem, etc. First year graduate level in functional analysis and theory of stochastic processes is required (stochastic integration with respect to Brownian motion, Ito formula etc). It can be taught as a 1-semester course as it is, or in 2 semesters adding preliminaries from the theory of stochastic processes It is a user-friendly introduction to Malliavin calculus!