Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1949)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Pseudo-Differential Operators
Book Subtitle: Quantization and Signals
Authors: Hans G. Feichtinger, Bernard Helffer, Michael P. Lamoureux, Nicolas Lerner, Joachim Toft
Editors: Luigi Rodino, M. W. Wong
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-68268-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-68266-0Published: 11 August 2008
eBook ISBN: 978-3-540-68268-4Published: 15 August 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXIV, 214
Number of Illustrations: 11 b/w illustrations
Topics: Partial Differential Equations, Operator Theory, Approximations and Expansions, Fourier Analysis, Numerical Analysis, Quantum Physics