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.
| ISBN: | 9783540682660 |
| Publication date: | 11th August 2008 |
| Author: | Hans G Feichtinger, Bernard Helffer, Michael Lamoureux, Nicolas Lerner, Joachim Toft |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 214 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Differential calculus and equations Numerical analysis Functional analysis and transforms Quantum physics (quantum mechanics and quantum field theory) |