Modern Trends in Pseudo-Differential Operators

• Main Authors: Wong, M. W. (Author), Zhu, Hongmei (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Toft, Joachim (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Operator Theory: Advances and Applications ; 172
• Subjects: Mathematics.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Operator theory.; Partial differential equations.; Functional Analysis.; Operator Theory.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.

Table of Contents:

• The Quantization of Edge Symbols
• On Rays of Minimal Growth for Elliptic Cone Operators
• Symbolic Calculus of Pseudo-differential Operators and Curvature of Manifolds
• Weyl Transforms, Heat Kernels, Green Functions and Riemann Zeta Functions on Compact Lie Groups
• On the Fourier Analysis of Operators on the Torus
• Wave Kernels of the Twisted Laplacian
• Super-exponential Decay of Solutions to Differential Equations in ?d
• Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order
• A New Aspect of the L p-extension Problem for Inhomogeneous Differential Equations
• Continuity in Quasi-homogeneous Sobolev Spaces for Pseudo-differential Operators with Besov Symbols
• Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces
• Algebras of Pseudo-differential Operators with Discontinuous Symbols
• A Class of Quadratic Time-frequency Representations Based on the Short-time Fourier Transform
• A Characterization of Stockwell Spectra
• Exact and Numerical Inversion of Pseudo-differential Operators and Applications to Signal Processing
• On the Product of Localization Operators
• Gelfand-Shilov Spaces, Pseudo-differential Operators and Localization Operators
• Continuity and Schatten Properties for Toeplitz Operators on Modulation Spaces
• Microlocalization within Some Classes of Fourier Hyperfunctions.