Pseudo-differential operators: Quantization and Signals - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006

Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmanderin the sixties of the last century. Besides 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 tothe 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. INDICE: Luigi Rodino, ManWah Wong: Preface.- Hans Feichtinger, Franz Luef,and Elena Cordero: Banach Gelfand Triples for Gabor Analysis.- Bernard Helffer: Four Lectures in Semiclassical Snalysis for non Self-adjoint Problems with Applications to Hydrodynamic Instability. Michael P. Lamoureux, Gary F. Margrave: An Introduction to Numerical Methods of Pseudodifferential Operators.- Nicolas Lerner: Some facts about the Wick calculus.- Joachim Toft: Schatten Properties for Pseudo-Differential Operators on Modulation Spaces.

• ISBN: 978-3-540-68266-0
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 230
• Fecha Publicación: 01/07/2008
• Nº Volúmenes: 1
• Idioma: Inglés