Overview

This volume consists of seventeen 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 the Middle East Technical University in Ankara,Turkey on August 13-18, 2007, and invited papers by experts in the field. Included in this volume are such topics as analysis and partial differential equations related to the Heisenberg group; global analysis and pseudo-differential analysis on non-compact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudo-differential operators and regularity results on quasi-elliptic operators and hypoelliptic operators; Stockwell transforms in time-frequency analysis; and pseudo-differential operators on Lie groups with related results to sampling. This volume is a useful complement to the volumes ""Advances in Pseudo-Differential Operators"", ""Pseudo-Differential Operators and Related Topics"" and ""Modern Trends in Pseudo-Differential Operators"" published in the same series in, respectively, 2004, 2006 and 2007.

Full Product Details

Author:   Luigi Rodino ,  M. W. Wong
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2009 ed.
Volume:   189
Dimensions:   Width: 17.00cm , Height: 2.30cm , Length: 24.40cm
Weight:   0.776kg
ISBN:  

9783764389680

ISBN 10:   3764389680
Pages:   332
Publication Date:   18 November 2008
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators.- Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces.- Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group.- Construction of the Fundamental Solution and Curvature of Manifolds with Boundary.- Operators with Corner-Degenerate Symbols.- Ellipticity of Fredholm Pseudo-Differential Operators on L p (? n ).- Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets.- Generalized Fourier Integral Operators on Spaces of Colombeau Type.- On Local and Global Regularity of Fourier Integral Operators.- Type 1,1-Operators Defined by Vanishing Frequency Modulation.- Regularity for Quasi-Elliptic Pseudo-Differential Operators with Symbols in Hölder Classes.- Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators.- Modified Stockwell Transforms and Time-Frequency Analysis.- Localization Operators for Two-Dimensional Stockwell Transforms.- Pseudo-Differential Operators on .- On Pseudo-Differential Operators on Group SU(2).- Sampling and Pseudo-Differential Operators.

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