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RT Book, Whole SR Electronic DC OPAC T1 Pseudo-Differential Operators : Quantization and Signals / by Hans G. Feichtinger, Bernard Helffer, Michael P. Lamoureux, Nicolas Lerner, Joachim Toft ; edited by Luigi Rodino, M. W. Wong T2 Lecture Notes in Mathematics A1 Feichtinger, Hans G. A1 Helffer, Bernard A1 Lamoureux, Michael P. A1 Lerner, Nicolas A1 Toft, Joachim A1 Rodino, Luigi A1 Wong, M. W. A1 SpringerLink (Online service) YR 2008 FD 2008 SP XXIV, 214 p. 11 illus K1 Mathematics K1 Approximation theory K1 Fourier analysis K1 Operator theory K1 Partial differential equations K1 Numerical analysis K1 Quantum physics K1 Mathematics K1 Partial Differential Equations K1 Operator Theory K1 Approximations and Expansions K1 Fourier Analysis K1 Numerical Analysis K1 Quantum Physics PB Springer Berlin Heidelberg PP Berlin, Heidelberg SN 9783540682684 LA English (英語) CL DC23:515.353 NO Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted NO 書誌ID=1002178719; LK [E Book]http://dx.doi.org/10.1007/978-3-540-68268-4 OL 30