Modern Trends in Pseudo-Differential Operators [electronic resource] / by M. W. Wong, Hongmei Zhu ; edited by Joachim Toft.

By: Wong, M. W [author.]
Contributor(s): Zhu, Hongmei [author.] | Toft, Joachim [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Operator Theory: Advances and Applications: 172Publisher: Basel : Birkhäuser Basel, 2007Description: VII, 344 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783764381165Subject(s): Mathematics | Functional analysis | Global analysis (Mathematics) | Manifolds (Mathematics) | Operator theory | Partial differential equations | Mathematics | Functional Analysis | Operator Theory | Partial Differential Equations | Global Analysis and Analysis on ManifoldsAdditional physical formats: Printed edition:: No titleDDC classification: 515.7 LOC classification: QA319-329.9Online resources: Click here to access online
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.
In: Springer eBooks
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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.

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