White Noise Calculus and Fock Space

By:

Nobuaki Obata

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

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.

Release date NZ

May 27th, 1994

Author

Nobuaki Obata

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

X, 190 p.

Pages

190

Series

Lecture Notes in Mathematics

Dimensions

156x234x10

ISBN-13

9783540579854

Product ID

5838253

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