An Introduction to Analysis on Wiener Space

Ali S. Üstünel

ISBN 10: 3540601708 / ISBN 13: 9783540601708

Edité par Springer Berlin Heidelberg, 1995

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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!

N° de réf. du vendeur 9783540601708

Détails bibliographiques

• Titre: An Introduction to Analysis on Wiener Space
• Éditeur: Springer Berlin Heidelberg
• Date de parution: 1995
• Langue: anglais
• ISBN à 10 chiffres: 3540601708
• ISBN à 13 chiffres: 9783540601708
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

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!