The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO.
Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Topics include partial differential equations, global analysis, geometry, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics and timefrequency analysis. The articles will be of interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. This collection of essays and research articles under the banner of IGPDO is a valuable complement to the volumes ''''Advances in Pseudo-Differential Operators'''' and ''''Pseudo-Differential Operators and Related Topics'''' published in the same series in 2004 and 2006, respectively.
Author(s): Joachim Toft, Joachim Toft;Man Wah Wong;Hongmei Zhu
Series: Operator Theory: Advances and Applications
Edition: 1
Publisher: Birkhaueser
Year: 2007
Language: English
Pages: 348
Contents......Page 6
Preface......Page 8
The Quantization of Edge Symbols......Page 9
On Rays of Minimal Growth for Elliptic Cone Operators......Page 40
Symbolic Calculus of Pseudo-differential Operators and Curvature of Manifolds......Page 58
Weyl Transforms, Heat Kernels, Green Functions and Riemann Zeta Functions on Compact Lie Groups......Page 74
On the Fourier Analysis of Operators on the Torus......Page 93
Wave Kernels of the Twisted Laplacian......Page 112
Super-exponential Decay of Solutions to Differential Equations in R[sup(d)]......Page 121
Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order......Page 138
A New Aspect of the L[sup(p)]-extension Problem for Inhomogeneous Differential Equations......Page 155
Continuity in Quasi-homogeneous Sobolev Spaces for Pseudo-differential Operators with Besov Symbols......Page 162
Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces......Page 174
Algebras of Pseudo-differential Operators with Discontinuous Symbols......Page 208
A Class of Quadratic Time-frequency Representations Based on the Short-time Fourier Transform......Page 235
A Characterization of Stockwell Spectra......Page 250
Exact and Numerical Inversion of Pseudo-differential Operators and Applications to Signal Processing......Page 257
On the Product of Localization Operators......Page 276
Gelfand–Shilov Spaces, Pseudo-differential Operators and Localization Operators......Page 293
Continuity and Schatten Properties for Toeplitz Operators on Modulation Spaces......Page 309
Microlocalization within Some Classes of Fourier Hyperfunctions......Page 325
