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

by Gerald B. Folland

Part of the Annals of Mathematics Studies Series

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

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.

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

[This book] is a valiant attempt to present an account of [harmonic analysis in phase space], with an emphasis on the analysis-quantum mechanics and pseudodifferential operators... The author has taken great pains to express himself clearly and ... the notation is consistent throughout... The author should be congratulated on a very valuable addition to the library of harmonic analysis. --Zentralblatt fur Mathematik

Book Information

ISBN: 9780691085289
Publication date: 1st March 1989
Author: Gerald B. Folland
Publisher: Princeton University Press
Format: Paperback
Pagination: 288 pages
Categories: Statistical physics, Calculus & mathematical analysis,

About Gerald B. Folland

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