Weyl Transforms - Universitext - M. W. Wong - 图书 - Springer-Verlag New York Inc. - 9781475771749 - 2013年3月8日
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M. W. Wong
Weyl Transforms - Universitext Softcover Reprint of the Original 1st Ed. 1998 edition

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A study of the functional analytic properties of Weyl transforms as bounded linear operators on $ L2ü(äBbb Rünü) $ 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 $ Lrü(äBbb Rü2nü) $ 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.

160 pages, biography

介质类型 图书     Paperback Book   (平装胶订图书)
已发行 2013年3月8日
ISBN13 9781475771749
出版商 Springer-Verlag New York Inc.
页数 160
商品尺寸 155 × 235 × 9 mm   ·   249 g
语言 英语  

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