Harmonic analysis in phase space
Author(s)
Bibliographic Information
Harmonic analysis in phase space
(Annals of mathematics studies, no. 122)
Princeton University Press, 1989
- : pbk
Available at / 77 libraries
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Hiroshima University Central Library, Interlibrary Loan
pbk640510,
421.4:F-37/HL4010004000404761 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:530.1/F722070115338
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Note
Bibliography: p. [365]-274
Includes index
Description and Table of Contents
Description
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.
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