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Harmonic Analysis in Phase Space
Paperback
Series: Annals of Mathematics Studies, Book 122
ISBN13: 9780691085289
Publisher: Princeton Univ Pr
Published: Mar 21 1989
Pages: 288
Weight: 0.90
Height: 0.72 Width: 6.14 Depth: 9.23
Language: English
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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