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White Noise Calculus and Fock Space by Nobuaki Obata (Paperback, 1994)

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About this product

Product Information

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.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540579854
eBay Product ID (ePID)
96755592

Product Key Features

Author
Nobuaki Obata
Publication Name
White Noise Calculus and Fock Space
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
1994
Type
Textbook
Number of Pages
190 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
1577
Item Weight
640g

Additional Product Features

Title_Author
Nobuaki Obata
Series Title
Lecture Notes in Mathematics
Country/Region of Manufacture
Germany

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