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Advances in Pseudo-Differential Operators

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Ryuichi Ashino

    1. Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka, Japan

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  2. Paolo Boggiatto

    1. Dipartimento di Matematica, Università di Torino, Torino, Italy

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  3. M. W. Wong

    1. Department of Mathematics and Statistics, York University, Toronto, Canada

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  • Recent advances in pseudo-differential operators are reported
  • The role of pseudo-differential operators in analysis is captured
  • Diversity of theory and applications of pseudo-differential operators are represented
  • Computational aspects of pseudo-differential operators are included

Part of the book series: Operator Theory: Advances and Applications (OT, volume 155)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-vii
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  2. Microlocal Analysis and Applications

    • E. Cordero, F. Nicola, L. Rodino
    Pages 1-17

  3. The Conormal Symbolic Structure of Corner Boundary Value Problems

    • T. Krainer, B.-W. Schulze
    Pages 19-64

  4. A New Proof of Global SmoothingEstimates for Dispersive Equations

    • Michael Ruzhansky, Mitsuru Sugimoto
    Pages 65-75

  5. Gevrey Hypoellipticity of p-Powers of Non-Hypoelliptic Operators

    • Giuseppe De Donno
    Pages 77-90

  6. Continuity in Weighted Sobolev Spaces Of Lp Type for Pseudo-Differential Operators with Completely Nonsmooth Symbols

    • Gianluca Garello, Alessandro Morando
    Pages 91-106

  7. Symmetry-Breaking for Wigner Transforms and Lp-Boundedness of Weyl Transforms

    • M. W. Wong
    Pages 107-116

  8. Pseudo-Differential Operators and Schatten-von Neumann Classes

    • Ernesto Buzano, Fabio Nicola
    Pages 117-130

  9. Localization Operators Via Time-Frequency Analysis

    • E. Cordero, A. Tabacco
    Pages 131-147

  10. Localization Operators with L P Symbols on Modulation Spaces

    • Paolo Boggiatto
    Pages 149-163

  11. Convolutions and Embeddings for Weighted Modulation Spaces

    • Joachim Toft
    Pages 165-186

  12. Pseudo-Differential Operators, Microlocal Analysis and Image Restoration

    • Ryuichi Ashino, J. Steven Desjardins, Chris Heil, Michihiro Nagase, Rémi Vaillancourt
    Pages 187-202

  13. Applications of Wavelet Transforms to System Identification

    • Ryuichi Ashino, Takeshi Mandai, Akira Morimoto
    Pages 203-218

  14. Two-Dimensional Wavelet Bases for Partial Differential Operators and Applications

    • M. A. Hajji, S. Melkonian, Rémi Vaillancourt
    Pages 219-233
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Keywords

About this book

The Fourth Congress of the International Society for Analysis, its Applications and Computation (ISAAC) was held at York University from August 11, 2003 to August 16, 2003. It was supported by the Academic Initiative Fund of the Faculty of Arts, NSERC grants from some members of the Department of Mathematics and Statistics and the Office of the Vice-President Academic of York University. In spite of two SARS outbreaks in Toronto in 2003, the ISAAC Congress was held as scheduled and was well attended by mathematicians from all over the world. There were nine plenary lectures and seventeen special sessions representing most major themes in analysis. Among these were two plenary lectures and a special session on pseudo-differential operators organized by Ryuichi Ashino of Osaka Kyoiku University, Paolo Boggiatto of Universite di Torino and M. W. Wong of York University. In the summer of 2003, M. W. Wong had the idea of putting together the lectures on pseudo-differential operators in a volume to be published in a series that advocates operator theory and its applications. In early August of 2003, when Israel Gohberg of Tel Aviv University was consulted about the possibility of publishing a volume entitled "Advances in Pseudo-Differential Operators" in his series "Operator Theory: Advances and Applications", he replied immediately endorsing the proposal enthusiastically.

Reviews

"The collection is a highly recommendable source for state of the art accounts on the various subjects written in a clear style throughout."

(Monatshefte für Mathematik)

Editors and Affiliations

  • Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka, Japan

    Ryuichi Ashino

  • Dipartimento di Matematica, Università di Torino, Torino, Italy

    Paolo Boggiatto

  • Department of Mathematics and Statistics, York University, Toronto, Canada

    M. W. Wong

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