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

�st�nel, Ali S.

ISBN 10: 3540601708 ISBN 13: 9783540601708

Editorial: Springer, 1995

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa blanda

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Detalles bibliogr�ficos

T�tulo: An Introduction to Analysis on Wiener Space (Lecture Notes in Mathematics, 1610)
Editor: Springer
Fecha de publicaci�n: 1995
Idioma: Ingl�s
ISBN 10: 3540601708
ISBN 13: 9783540601708
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

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!

Rese�a del editor

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!

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