Weyl Transforms is popular PDF and ePub book, written by M.W. Wong in 2006-03-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Weyl Transforms can be Read Online from any device for your convenience.
Weyl Transforms Book PDF Summary
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.
Detail Book of Weyl Transforms PDF
- Author : M.W. Wong
- Release : 31 March 2006
- Publisher : Springer Science & Business Media
- ISBN : 9780387227788
- Genre : Mathematics
- Total Page : 150 pages
- Language : English
- PDF File Size : 12,6 Mb
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