White Noise Calculus and Fock Space [electronic resource] /

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.

Bibliographic Details

Main Authors:	Obata, Nobuaki. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
Subjects:	Mathematics., Mathematical analysis., Analysis (Mathematics)., Probabilities., Physics., Analysis., Theoretical, Mathematical and Computational Physics., Probability Theory and Stochastic Processes.,
Online Access:	http://dx.doi.org/10.1007/BFb0073952
Tags:	Add Tag No Tags, Be the first to tag this record!