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  • © 2008

Pseudo-Differential Operators

Quantization and Signals

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)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xxiv
  2. Banach Gelfand Triples for Gabor Analysis

    • H. Feichtinger, F. Luef, E. Cordero
    Pages 1-33
  3. An Introduction to Numerical Methods of Pseudodifferential Operators

    • M. P. Lamoureux, G. F. Margrave
    Pages 79-133
  4. Some Facts About the Wick Calculus

    • N. Lerner
    Pages 135-174
  5. Back Matter

    Pages 203-204

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

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions