White Noise Calculus and Fock Space / by Nobuaki Obata.

Format:

Book

Author/Creator:

Obata, Nobuaki, 1957- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1577.

Lecture Notes in Mathematics, 0075-8434 ; 1577

Language:

English

Subjects (All):

Global analysis (Mathematics).

Distribution (Probability theory).

Analysis.

Theoretical, Mathematical and Computational Physics.

Probability Theory and Stochastic Processes.

Local Subjects:

Analysis.

Theoretical, Mathematical and Computational Physics.

Probability Theory and Stochastic Processes.

Physical Description:

1 online resource (X, 190 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.

System Details:

text file PDF

Summary:

White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required.

Contents:

Prerequisites

White noise space

White noise functionals

Operator theory

Toward harmonic analysis

Addendum.

Other Format:

Printed edition:

ISBN:

9783540484110

Access Restriction:

Restricted for use by site license.