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.
Author(s): Qiang Guo, M. W. Wong (auth.), Luigi Rodino, M. W. Wong, Hongmei Zhu (eds.)
Series: Operator Theory: Advances and Applications 213
Edition: 1
Publisher: Birkhäuser Basel
Year: 2011
Language: English
Pages: 308
Tags: Partial Differential Equations; Operator Theory; Geometry; Electrical Engineering
Front Matter....Pages i-vii
Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators....Pages 1-14
Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$ ....Pages 15-23
A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$ ....Pages 25-29
Mellin Operators with Asymptotics on Manifolds with Corners....Pages 31-78
The Iterative Structure of the Corner Calculus....Pages 79-103
Elliptic Equations and Boundary Value Problems in Non-Smooth Domains....Pages 105-121
Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators....Pages 123-136
L p Bounds for a Class of Fractional Powers of Subelliptic Operators....Pages 137-154
The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator....Pages 155-171
Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols....Pages 173-190
Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane....Pages 191-210
Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations....Pages 211-218
The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems....Pages 219-234
Generalized Gevrey Ultradistributions and their Microlocal Analysis....Pages 235-250
Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators....Pages 251-264
Time-Frequency Characterization of Stochastic Differential Equations....Pages 265-274
Wigner Representations Associated with Linear Transformations of the Time-Frequency Plane....Pages 275-288
Some Remarks on Localization Operators....Pages 289-305
