White noise calculus and Fock space
Author(s)
Bibliographic Information
White noise calculus and Fock space
（Lecture notes in mathematics, 1577）
Springer-Verlag, c1994
- : gw
- : us
- Other Title
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Fock space
Available at / 100 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||1577RM940809
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:515/ob12070304840
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Note
Includes bibliographical references (p. [171]-180) and index
Description and Table of Contents
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.
Table of Contents
Prerequisites.- White noise space.- White noise functionals.- Operator theory.- Toward harmonic analysis.- Addendum.
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