White Noise Calculus and Fock Space. 1st ed. 1994

種類:

電子ブック

責任表示:

by Nobuaki Obata

出版情報:

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

著者名:

• Obata, Nobuaki.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1577

ISBN:

9783540484110 [3540484116]    

注記:

Prerequisites -- White noise space -- White noise functionals -- Operator theory -- Toward harmonic analysis -- Addendum.
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.

ローカル注記:

学内専用E-BOOKS (local access only)