ENGLISH

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

By Gerald B. Folland

Book information

Publisher
Princeton University Press
Year
2016
ISBN
9781400882427
DOI
10.1515/9781400882427
Language
english
Format
PDF
Filesize
12 MB (12988334 bytes)
Series
Annals of Mathematics Studies; 122
Pages
288\288
Library
degruyter.com
Time added
2023-08-24 15:14:20

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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