Pseudo-Differential Operators : Quantization and Signals : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19-24, 2006

Feichtinger, Hans G.; Helffer, Bernard; Lamoureux, Michael P.; Lerner, Nicolas; Toft, Joachim

ISBN 10: 354068266X / ISBN 13: 9783540682660

Edité par Springer, 2008

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Titre : Pseudo-Differential Operators : Quantization...

Éditeur : Springer

Date d'édition : 2008

Reliure : Couverture souple

Etat : As New

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Synopsis :

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.