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Modern Trends in Pseudo-Differential Operators

  • Book
  • © 2007

Overview

Authors:
  1. M. W. Wong

    1. Department of Mathematics and Statistics, York University, Toronto, Canada

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  2. Hongmei Zhu

    1. Department of Mathematics and Statistics, York University, Toronto, Canada

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Editors:
  1. Joachim Toft

    1. School of Mathematics and Systems Engineering, Växjö University, Växjö, Sweden

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  • Representation of latest trends in pseudo-differential operators
  • Emphasis on the role of pseudo-differential operators in analysis and mathematics
  • Diversity of topics related to pseudo-differential operators

Part of the book series: Operator Theory: Advances and Applications (OT, volume 172)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-vii
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  2. The Quantization of Edge Symbols

    • C. -I. Martin, B. -W. Schulze
    Pages 1-31

  3. On Rays of Minimal Growth for Elliptic Cone Operators

    • Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza
    Pages 33-50

  4. Symbolic Calculus of Pseudo-differential Operators and Curvature of Manifolds

    • Chisato Iwasaki
    Pages 51-66

  5. Weyl Transforms, Heat Kernels, Green Functions and Riemann Zeta Functions on Compact Lie Groups

    • M. W. Wong
    Pages 67-85

  6. On the Fourier Analysis of Operators on the Torus

    • Michael Ruzhansky, Ville Turunen
    Pages 87-105

  7. Wave Kernels of the Twisted Laplacian

    • Jingzhi Tie, M. W. Wong
    Pages 107-115

  8. Super-exponential Decay of Solutions to Differential Equations in ℝd

    • Ernesto Buzano
    Pages 117-133

  9. Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order

    • Alessandro Oliaro, Petar Popivanov
    Pages 135-151

  10. A New Aspect of the L p-extension Problem for Inhomogeneous Differential Equations

    • Mitsuru Sugimoto
    Pages 153-159

  11. Continuity in Quasi-homogeneous Sobolev Spaces for Pseudo-differential Operators with Besov Symbols

    • Gianluca Garello, Alessandro Morando
    Pages 161-172

  12. Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces

    • Joachim Toft
    Pages 173-206

  13. Algebras of Pseudo-differential Operators with Discontinuous Symbols

    • Yu. I. Karlovich
    Pages 207-233

  14. A Class of Quadratic Time-frequency Representations Based on the Short-time Fourier Transform

    • Paolo Boggiatto, Giuseppe De Donno, Alessandro Oliaro
    Pages 235-249

  15. A Characterization of Stockwell Spectra

    • M. W. Wong, Hongmei Zhu
    Pages 251-257

  16. Exact and Numerical Inversion of Pseudo-differential Operators and Applications to Signal Processing

    • Vladimir S. Rabinovich, Steffen Roch
    Pages 259-277

  17. On the Product of Localization Operators

    • Elena Cordero, Karlheinz Gröchenig
    Pages 279-295

  18. Gelfand-Shilov Spaces, Pseudo-differential Operators and Localization Operators

    • Marco Cappiello, Todor Gramchev, Luigi Rodino
    Pages 297-312

  19. Continuity and Schatten Properties for Toeplitz Operators on Modulation Spaces

    • Joachim Toft
    Pages 313-328

  20. Microlocalization within Some Classes of Fourier Hyperfunctions

    • Richard D. Carmichael, Atsuhiko Eida, Stevan Pilipović
    Pages 329-342
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Keywords

Authors, Editors and Affiliations

  • School of Mathematics and Systems Engineering, Växjö University, Växjö, Sweden

    Joachim Toft

  • Department of Mathematics and Statistics, York University, Toronto, Canada

    M. W. Wong, Hongmei Zhu

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