Schulze B.-W., Wong M.W. (eds.) Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Basel: Birkhäuser, 2010. - 300p.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.CBoundary Value Problems with the Transmission Property
Spectral Invariance of SG Pseudo-Differential Operators on L p ℝ n
Edge-Degenerate Families of Pseudo-Differential Operators on an Infinite Cylinder
Global Regularity and Stability in S -Spaces for Classes of Degenerate Shubin Operators
Weyl’s Lemma and Converse Mean Value for Dunkl Operators
Dirichlet Problems for Inhomogeneous Complex Mixed-Partial Differential Equations of Higher order in the Unit Disc: New View
Dirichlet Problems for the Generalized n -Poisson Equation
Schwarz, Riemann, Riemann-Hilbert Problems and Their Connections in Polydomains
L p -Boundedness of Multilinear Pseudo-Differential Operators
A Trace Formula for Nuclear Operators on L p
Products of Two-Wavelet Multipliers and Their Traces
Pseudo-Differential Operators on ℤ.Pages 213-221
Pseudo-Differential Operators with Symbols in Modulation Spaces
Phase-Space Differential Equations for Modes
Two-Window Spectrograms and Their Integrals
Time-Time Distributions for Discrete Wavelet Transforms
The Stockwell Transform in Studying the Dynamics of Brain Functions