Pseudo-Differential Operators

Nicolas Lerner

ISBN 10: 354068266X / ISBN 13: 9783540682660

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2008, 2008

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 238 pp. Englisch.

Codice articolo 9783540682660

Dati bibliografici

• Titolo: Pseudo-Differential Operators
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2008
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 354068266X
• ISBN 13: 9783540682660
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 14 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 14 millimetri di profondità
• Peso: 368 grammi

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Riassunto

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 P.D.E. are highlighted.