Advances in Pseudo-Differential Operators

ISBN-13: 9783034895903 / Angielski / Miękka / 2012 / 236 str.

Ryuichi Ashino; Paolo Boggiatto; Man-Wah Wong

Opis

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.

Recenzje

"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)

Spis treści

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.