Format:
Online-Ressource (digital)
ISBN:
9783540682684
Series Statement:
SpringerLink
Content:
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.
Content:
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.
Note:
Includes bibliographical references and index
Additional Edition:
ISBN 9783540682660
Additional Edition:
Buchausg. u.d.T. Pseudo-differential operators Berlin : Springer, 2008 ISBN 9783540682660
Language:
English
Subjects:
Mathematics
Keywords:
Pseudodifferentialoperator
;
Signalanalyse
;
Konferenzschrift
DOI:
10.1007/978-3-540-68268-4
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Wong, Man Wah 1951-
Author information:
Lerner, Nicolas 1953-
Author information:
Morel, Jean-Michel 1953-
Author information:
Feichtinger, Hans G. 1951-
Author information:
Helffer, Bernard 1949-
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