Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators -- Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces -- Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group -- Construction of the Fundamental Solution and Curvature of Manifolds with Boundary -- Operators with Corner-Degenerate Symbols -- Ellipticity of Fredholm Pseudo-Differential Operators on L p (? n ) -- Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets -- Generalized Fourier Integral Operators on Spaces of Colombeau Type -- On Local and Global Regularity of Fourier Integral Operators -- Type 1,1-Operators Defined by Vanishing Frequency Modulation -- Regularity for Quasi-Elliptic Pseudo-Differential Operators with Symbols in Hölder Classes -- Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators -- Modified Stockwell Transforms and Time-Frequency Analysis -- Localization Operators for Two-Dimensional Stockwell Transforms -- Pseudo-Differential Operators on -- On Pseudo-Differential Operators on Group SU(2) -- Sampling and Pseudo-Differential Operators.

This volume consists of seventeen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at the Middle East Technical University in Ankara,Turkey on August 13-18, 2007, and invited papers by experts in the field. Included in this volume are such topics as analysis and partial differential equations related to the Heisenberg group; global analysis and pseudo-differential analysis on non-compact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudo-differential operators and regularity results on quasi-elliptic operators and hypoelliptic operators; Stockwell transforms in time-frequency analysis; and pseudo-differential operators on Lie groups with related results to sampling. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics” and “Modern Trends in Pseudo-Differential Operators” published in the same series in, respectively, 2004, 2006 and 2007.