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Science & Mathematics - Harmonic Analysis in Phase Space. (AM-122)

Description

Book 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.

Details

Looking to deepen your understanding of harmonic analysis in phase space? Look no further than our latest release - Harmonic Analysis in Phase Space (AM-122). This groundbreaking book offers a comprehensive exploration of the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and more! Whether you're a mathematical physicist, a student of partial differential equations, or simply intrigued by Fourier analysis, this book will shed new light on these fascinating subjects.

Unlock the mysteries of the Heisenberg group and its representations with our in-depth treatment. Discover the power of integral transforms and their association with this fundamental mathematical concept. Dive into the world of pseudodifferential operators with the Weyl calculus and gain insights from both harmonic analysis and physics. Explore the practical applications of wave packet transforms and witness their transformative impact.

But that's not all - Harmonic Analysis in Phase Space (AM-122) presents a groundbreaking development of Howe's theory of the oscillator semigroup. Be at the forefront of cutting-edge research and delve into this exciting new domain.

Don't miss out on this opportunity to expand your knowledge and deepen your understanding. Enhance your expertise in harmonic analysis and related fields by getting your hands on Harmonic Analysis in Phase Space (AM-122) today!

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