Advances in Pseudo-Differential Operators

1. Front Matter

   Pages i-vii

   PDF

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

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.

• Boundary value problem
• Microlocal analysis
• Sobolev space
• Wavelet
• analysis
• convolution
• linear optimization
• operator
• partial differential equations

"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)

• 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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