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Field name	Details
Dewey Class	515
Title	White Noise Calculus and Fock Space ([EBook] /) / by Nobuaki Obata.
Author	Obata, Nobuaki
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details	X, 190 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1577
ISBN	9783540484110
Summary Note	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 note	Prerequisites -- White noise space -- White noise functionals -- Operator theory -- Toward harmonic analysis -- Addendum.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0073952
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Physics . Probabilities . Probability theory and stochastic processes . Theoretical, Mathematical and Computational Physics . Authors: Obata, Nobuaki . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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White Noise Calculus and Fock Space

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