This volume is an outgrowth of the international workshop entitled "Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations" held at York University on August 4–8, 2008. It consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations. While the focus is on the current developments of pseudo-differential operators in the context of complex analysis and partial differential equations, other topics related to the analysis, applications and computations of pseudo-differential operators are featured.
Author(s): B.-W. Schulze (auth.), Bert-Wolfgang Schulze, M. W. Wong (eds.)
Series: Operator Theory: Advances and Applications 205
Edition: 1
Publisher: Birkhäuser Basel
Year: 2010
Language: English
Pages: 300
Tags: Operator Theory; Partial Differential Equations
Front Matter....Pages i-vii
Boundary Value Problems with the Transmission Property....Pages 1-50
Spectral Invariance of SG Pseudo-Differential Operators on L p ℝ n ....Pages 51-57
Edge-Degenerate Families of Pseudo-Differential Operators on an Infinite Cylinder....Pages 59-80
Global Regularity and Stability in S -Spaces for Classes of Degenerate Shubin Operators....Pages 81-90
Weyl’s Lemma and Converse Mean Value for Dunkl Operators....Pages 91-100
Dirichlet Problems for Inhomogeneous Complex Mixed-Partial Differential Equations of Higher order in the Unit Disc: New View....Pages 101-128
Dirichlet Problems for the Generalized n -Poisson Equation....Pages 129-141
Schwarz, Riemann, Riemann-Hilbert Problems and Their Connections in Polydomains....Pages 143-166
L p -Boundedness of Multilinear Pseudo-Differential Operators....Pages 167-180
A Trace Formula for Nuclear Operators on L p ....Pages 181-193
Products of Two-Wavelet Multipliers and Their Traces....Pages 195-211
Pseudo-Differential Operators on ℤ....Pages 213-221
Pseudo-Differential Operators with Symbols in Modulation Spaces....Pages 223-234
Phase-Space Differential Equations for Modes....Pages 235-250
Two-Window Spectrograms and Their Integrals....Pages 251-268
Time-Time Distributions for Discrete Wavelet Transforms....Pages 269-276
The Stockwell Transform in Studying the Dynamics of Brain Functions....Pages 277-291
