ENGLISH

Pseudo-Differential Operators: Quantization and Signals

By Luigi Rodino , Bernard Helffer , Hans G. Feichtinger , Michael P. Lamoureux , Nicolas Lerner , Joachim Toft (auth.) , M. W. Wong (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
9783540682660, 354068266X
DOI
10.1007/978-3-540-68268-4
Open Library ID
OL23202258M
Language
english
Format
PDF
Filesize
2 MB (2123726 bytes)
Series
Lecture Notes in Mathematics 1949 Fondazione C.I.M.E., Firenze
Edition
1
Pages
214\234
Time added
2009-08-06 05:14:26
Partial Differential Equations;Operator Theory;App

Description

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.

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