Author	Wong, M. W. author
Title	Modern Trends in Pseudo-Differential Operators [electronic resource] / by M. W. Wong, Hongmei Zhu ; edited by Joachim Toft
Imprint	Basel : Birkhรคuser Basel, 2007
Connect to	http://dx.doi.org/10.1007/978-3-7643-8116-5
Descript	VI, 342 p. online resource

The ISAAC Group in Pseudo-di?erential Operators (IGPDO) was formed at the Fourth ISAAC Congress held at York University in Toronto in 2003 and the ?rst volume entitled Advances in Pseudo-di?erential Operators and devoted to papers focussing on pseudo-di?erential operators and its diverse applications was then initiated and published in Professor Israel Gohberg's series Operator Theory: - vances and Applications in 2004. As a satellite conference to the Fourth Congress of European Mathematics held at Stockholm University in 2004,the International ConferenceonPseudo-di?erentialOperatorsandRelatedTopicswasheldatVaxj ยจ o ยจ University in Sweden. Prompted by the enthusiasm of the participants, the second volume with similar scope and entitled Pseudo-di?erential Operators and Related Topics was published in the same series in 2006. Members of IGPDO met again at the Fifth ISAAC Congress held at Univ- sit̀ a di Catania in Italy in July 2005. Core members of the group encouraged the publication of a sequel to the Toronto Volume and the Vaxj ยจ o ยจ Volume. The vision is to seek new directionsfor the broadsubjectonpseudo-di?erentialoperatorsand the strategy is to devote the Catania Volume not only to papers based on lectures given at the special session on pseudo-di?erential operators, but also invited - pers that bear on the themes of IGPDO. In order to re?ect the goal and vision of IGPDO, the Catania Volume is entitled Modern Trends in Pseudo-di?erential Operators

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

1. Mathematics
2. Global analysis
3. Operator theory
4. Differential equations
5. partial
6. Mathematics
7. Operator Theory
8. Partial Differential Equations
9. Global Analysis and Analysis on Manifolds