Harmonic Analysis in Phase Space. (AM-122), Volume 122
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Harmonic Analysis in Phase Space. (AM-122), Volume 122

Gerald B. Folland

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  1. 288 pages
  2. English
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  4. Available on iOS & Android
eBook - PDF

Harmonic Analysis in Phase Space. (AM-122), Volume 122

Gerald B. Folland

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About This Book

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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Information

Publisher
Princeton University Press
Year
2016
ISBN
9781400882427
Topic
Mathematics
Subtopic
Functional Analysis
Index
Mathematics

Table of contents