Pseudo-Differential Operators: Analysis, Applications and Computations [electronic resource] / edited by Luigi Rodino, M. W. Wong, Hongmei Zhu.

Preface -- Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators -- Spectral Theory of Pseudo-Differential Operators on S1 -- A Characterization of Compact Pseudo-Differential Operators on S1 -- Melin Operator with Asymptotics on Manifolds with Corners -- The Iterative Structure of the Corner Calculus -- Elliptic Equations and Boundary Value Problems in Non-Smooth Domains -- Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators -- Lp Bounds for a Class of Fractional Powers of Subelliptic Operators -- The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator -- Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols -- Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane -- Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations -- The Continuity of Solutions with respect to a Parameter to Symmetric Hyperbolic Systems -- Generalized Gevrey Ultradistributions and their Microlocal Analysis -- Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators -- Time-Frequency Characterization of Stochastic Differential Equations -- Wigner Representation Associated with Linear Transformations of the Time-Frequency Plane -- Some Remarks on Localization Operators.

This volume consists of eighteen 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 Imperial College London on July 13–18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.