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- catalog abstract "The functional analytic properties of Weyl transforms as bounded linear operators on $ L ä2ü(äBbb Rü änü) $ 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 $ L ärü(äBbb Rü ä2nü) $ 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.".
- catalog contributor b10932182.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "Includes bibliographical references and indexes.".
- catalog description "The functional analytic properties of Weyl transforms as bounded linear operators on $ L ä2ü(äBbb Rü änü) $ 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 $ L ärü(äBbb Rü ä2nü) $ 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.".
- catalog extent "viii, 158 p. ;".
- catalog identifier "0387984143 (hardcover : alk. paper)".
- catalog isPartOf "Universitext".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.7242 21".
- catalog subject "Fourier analysis.".
- catalog subject "Mathematics.".
- catalog subject "Pseudodifferential operators.".
- catalog subject "Qa329.7 .W66 1998".
- catalog subject "Topological Groups.".
- catalog title "Weyl transforms / M.W. Wong.".
- catalog type "text".