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

By:

Gerald B. Folland

Format:

Paperback / softback

Series:

Annals of Mathematics Studies

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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.

Release date Australia

March 21st, 1989

Author

Gerald B. Folland

Audiences

Professional & Vocational
Tertiary Education (US: College)

Pages

288

Series

Annals of Mathematics Studies

Dimensions

152x229x16

ISBN-13

9780691085289

Product ID

2019344

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