Pseudo-Differential Operators: Analysis, Applications and Computations

Chapter 1 Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators

Chapter 2 Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$

Chapter 3 A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$

Chapter 4 Mellin Operators with Asymptotics on Manifolds with Corners

Chapter 5 The Iterative Structure of the Corner Calculus

Chapter 6 Elliptic Equations and Boundary Value Problems in Non-Smooth Domains

Chapter 7 Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators

Chapter 8 L p Bounds for a Class of Fractional Powers of Subelliptic Operators

Chapter 9 The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator

Chapter 10 Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols

Chapter 11 Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane

Chapter 12 Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations

Chapter 13 The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems

Chapter 14 Generalized Gevrey Ultradistributions and their Microlocal Analysis

Chapter 15 Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators

Chapter 16 Time-Frequency Characterization of Stochastic Differential Equations

Chapter 17 Wigner Representations Associated with Linear Transformations of the Time-Frequency Plane

Chapter 18 Some Remarks on Localization Operators