Harmonic Analysis in Phase Space

by Gerald B. Folland

Chapter 1 is devoted to the description of the representations of the Heisenberg group and various integral transforms and special functions associated to them, with motivation from physics. Chapter 2 is the development of Weyl calculus of pseudodifferential operators. Chapter 3 grew out of my attempt to understand the Corrdoba-Fefferman paper on wave packet transforms in the context of the Weyl calculus. Chapter 4 is devoted to the metaplectic representation. Finally, Chapter 5 is the authors retelling of some recent work of R. Howe (76).

Genres: Mathematics

288 pages, Hardcover

First published January 1, 1989

Reviews

[Ida · Rating 5 out of 5]

If you are looking for similar content, put this book on top of your list. It's well written and engaging. The chapters follow each other logically and there's a comfortable - not slow - pace of progression. It's a joy to read and work through it you want to read it from cover to cover.

[Sarah · Rating 4 out of 5]

Very clear and useful exposition of the representation theory and integral transforms on he Heisenberg group.