TY  - BOOK
AU  - Feichtinger,Hans G.
AU  - Helffer,Bernard
AU  - Lamoureux,Michael P.
AU  - Lerner,Nicolas
AU  - Toft,Joachim
AU  - Rodino,Luigi
AU  - Wong,M.W.
ED  - SpringerLink (Online service)
TI  - Pseudo-Differential Operators: Quantization and Signals 
T2  - Lecture Notes in Mathematics,
SN  - 9783540682684
AV  - QA370-380 
U1  - 515.353 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Fourier analysis
KW  - Operator theory
KW  - Differential equations, partial
KW  - Numerical analysis
KW  - Quantum theory
KW  - Partial Differential Equations
KW  - Operator Theory
KW  - Approximations and Expansions
KW  - Fourier Analysis
KW  - Numerical Analysis
KW  - Quantum Physics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-68268-4
ER  -