Boundary Value Problems with the Transmission Property -- Spectral Invariance of SG Pseudo-Differential Operators on L p ? 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 ? -- 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.

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.