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
(Lecture Notes in Mathematics ; 1949)
| データ種別 | 電子ブック |
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| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg |
| 出版年 | 2008 |
| 本文言語 | 英語 |
| 大きさ | XXIV, 214 p. 11 illus : online resource |
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| 別書名 | 異なりアクセスタイトル:Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006 |
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| 内容注記 | Banach Gelfand Triples for Gabor Analysis Four Lectures in Semiclassical Analysis for Non Self-Adjoint Problems with Applications to Hydrodynamic Instability An Introduction to Numerical Methods of Pseudodifferential Operators Some Facts About the Wick Calculus Schatten Properties for Pseudo-Differential Operators on Modulation Spaces |
| 一般注記 | 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 |
| 著者標目 | *Feichtinger, Hans G. author Helffer, Bernard author Lamoureux, Michael P. author Lerner, Nicolas author Toft, Joachim author Rodino, Luigi editor Wong, M. W. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Approximation theory LCSH:Fourier analysis LCSH:Operator theory LCSH:Partial differential equations LCSH:Numerical analysis LCSH:Quantum physics FREE:Mathematics FREE:Partial Differential Equations FREE:Operator Theory FREE:Approximations and Expansions FREE:Fourier Analysis FREE:Numerical Analysis FREE:Quantum Physics |
| 分 類 | DC23:515.353 |
| 巻冊次 | ISBN:9783540682684 
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| ISBN | 9783540682684 |
| URL | http://dx.doi.org/10.1007/978-3-540-68268-4 |
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