Weyl Transforms (Paperback, Softcover reprint of the original 1st ed. 1998)

A study of the functional analytic properties of Weyl transforms as bounded linear operators on $ L2u(aBbb Runu) $ in terms of the symbols of the transforms. Further, the boundedness, the compactness, the spectrum and the functional calculus of the Weyl transform are proved in detail, while new results and techniques on the boundedness and compactness of the Weyl transforms in terms of the symbols in $ Lru(aBbb Ru2nu) $ and in terms of the Wigner transforms of Hermite functions are given. The roles of the Heisenberg group and the symplectic group in the study of the structure of the Weyl transform are explained, and the connections of the Weyl transform with quantization are highlighted throughout the book. Localisation operators, first studied as filters in signal analysis, are shown to be Weyl transforms with symbols expressed in terms of the admissible wavelets of the localisation operators. The results and methods mean this book is of interest to graduates and mathematicians working in Fourier analysis, operator theory, pseudo-differential operators and mathematical physics.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	March 2013
First published:	1998
Authors:	M.W. Wong
Dimensions:	235 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	160
Edition:	Softcover reprint of the original 1st ed. 1998
ISBN-13:	978-1-4757-7174-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	1-4757-7174-6
Barcode:	9781475771749

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