Advances in Pseudo-Differential Operators [electronic resource]

Advances in Pseudo-Differential Operators
Author: Ryuichi Ashino, Paolo Boggiatto, M. W. Wong
Published by Birkhäuser Basel
ISBN: 978-3-0348-9590-3
DOI: 10.1007/978-3-0348-7840-1

Table of Contents:

• Microlocal Analysis and Applications
• The Conormal Symbolic Structure of Corner Boundary Value Problems
• A New Proof of Global SmoothingEstimates 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 L
• 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

This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases
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