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Cover: 9783540682660 | Pseudo-Differential Operators | Quantization and Signals | Taschenbuch
Rückseite: 9783540682660 | Pseudo-Differential Operators | Quantization and Signals | Taschenbuch
Cover: 9783540682660 | Pseudo-Differential Operators | Quantization and Signals | Taschenbuch
Rückseite: 9783540682660 | Pseudo-Differential Operators | Quantization and Signals | Taschenbuch
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Pseudo-Differential Operators
Quantization and Signals
Taschenbuch von Hans G. Feichtinger (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2008
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xxiv
214 S.
11 s/w Illustr.
214 p. 11 illus.
ISBN-13: 9783540682660
ISBN-10: 354068266X
Sprache: Englisch
Herstellernummer: 12272778
Einband: Kartoniert / Broschiert
Autor: Feichtinger, Hans G.
Helffer, Bernard
Lamoureux, Michael
Lerner, Nicolas
Toft, Joachim
Redaktion: Rodino, Luigi
Wong, M. W.
Herausgeber: Luigi Rodino/M W Wong
Hersteller: Springer
Springer Vieweg
Springer-Verlag GmbH
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 14 mm
Von/Mit: Hans G. Feichtinger (u. a.)
Erscheinungsdatum: 11.08.2008
Gewicht: 0,368 kg
Artikel-ID: 101803725
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