Authors:
Editors:
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)
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsThis is a preview of subscription content, access via your institution.
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
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.
Keywords
- Fourier numerical analysis
- Pseudo-Differential operators
- Quantization problems
- Signal theory
- Spectral theory
- partial differential equation
- signal analysis
- partial differential equations
Authors, Editors and Affiliations
-
Dipartimento di Matematica, Universitá di Torino, Torino, Italy
Luigi Rodino
-
Department of Mathematics and Statistics, York University, Toronto, Canada
M. W. Wong
-
Faculty of Mathematics, University of Vienna, Vienna, Austria
Hans G. Feichtinger
-
Laboratoire de Mathématique, Université Paris-Sud, Orsay Cedex, France
Bernard Helffer
-
University of Calgary, Calgary, Canada
Michael P. Lamoureux
-
Institut de Mathématiques de Jussieu, Université Paris 6, Paris, France
Nicolas Lerner
-
Växjö University, Växjö, Sweden
Joachim Toft
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: Differential Equations, Operator Theory, Approximations and Expansions, Fourier Analysis, Numerical Analysis, Quantum Physics