Ani ntroduction to analysis on Wiener space
By: Ali Süleyman Üstünel.
Series: Lecture notes in mathematics -- 1610
Publisher: Springer
Published: 1995
Place of publication: Berlin; London
Language: eng
Number of pages: 93
Subjects: Malliavin calculus.
Description: 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!
Notes: Includes bibliographical references (p. - ) and index.