Weyl Transforms (Hardcover, 1998 ed.)

M.W. Wong

Series: Universitext

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The functional analytic properties of Weyl transforms as bounded linear operators on $ LA2A1/4(ABbb RA1/4AnA1/4) $ are studied in terms of the symbols of the transforms. The boundedness, the compactness, the spectrum and the functional calculus of the Weyl transform are proved in detail. New results and techniques on the boundedness and compactness of the Weyl transforms in terms of the symbols in $ LArA1/4(ABbb RA1/4A2nA1/4) $ 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 explicated, and the connections of the Weyl transform with quantization are highlighted throughout the book. Localization 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 localization operators. The results and methods in this book should be of interest to graduate students and mathematicians working in Fourier analysis, operator theory, pseudo- differential operators and mathematical physics. Background materials are given in adequate detail to enable a graduate student to proceed rapidly from the very basics to the frontier of research in an area of operator theory.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	August 1998
First published:	1998
Authors:	M.W. Wong
Dimensions:	235 x 155 x 11mm (L x W x T)
Format:	Hardcover
Pages:	160
Edition:	1998 ed.
ISBN-13:	978-0-387-98414-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	0-387-98414-3
Barcode:	9780387984148