Advances in Pseudo-Differential Operators, Softcover reprint of the original 1st ed. 2004
Operator Theory: Advances and Applications Series, Vol. 155

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.

Microlocal Analysis and Applications.- The Conormal Symbolic Structure of Corner Boundary Value Problems..- A New Proof of Global Smoothing Estimates for Dispersive Equations.- Gevrey Hypoellipticity of p-Powers of Non-Hypoelliptic Operators.- Continuity in Weighted Sobolev Spaces of LP Type for Pseudo-Differential Operators with Completely Nonsmooth Symbols.- Symmetry-Breaking for Wigner Transforms and LP-Boundedness of Weyl Transforms.- Pseudo-Differential Operators and Schatten-von Neumann Classes.- Localization Operators via Time-Frequency Analysis.- Localization Operators with LP Symbols on Modulation Spaces.- Convolutions and Embeddings for Weighted Modulation Spaces.- Pseudo-Differential Operators, Microlocal Analysis and Image Restoration.- Applications of Wavelet Transforms to System Identification.- Two-Dimensional Wavelet Bases for Partial Differential Operators and Applications.

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