Hidden Bibliographic Details
| Varying Form of Title: | Fock space
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| ISBN: | 9783540484110
3540484116
9783540579854
3540579850
9780387579856
0387579850
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| Notes: | Includes bibliographical references (pages 171-180) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
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| Summary: | 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.
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| Other form: | Print version: Obata, Nobuaki, 1957- White noise calculus and Fock space. Berlin ; New York : Springer-Verlag, ©1994 0387579850
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