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Pseudo-Differential Operators: Analysis, Applications and Computations

  • Book
  • © 2011

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Editors:
  1. Luigi Rodino

    1. Dipto. Matematica, Università di Torino, Torino, Italy

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    You can also search for this editor in PubMed   Google Scholar

  2. M. W. Wong

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

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    You can also search for this editor in PubMed   Google Scholar

  3. Hongmei Zhu

    1. Dept. Mathematics & Statistics, York University, North York, Canada

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    You can also search for this editor in PubMed   Google Scholar

  • Most new developments in pseudo-differential operators are represented
  • Numerical computations of pseudo-differential operators and discrete analogs of pseudo-differential operators are featured
  • Diversity of topics related to pseudo-differential operators is presented
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 213)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-vii
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  2. Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators

    • Qiang Guo, M. W. Wong
    Pages 1-14

  3. Spectral Theory of Pseudo-Differential Operators on \(\mathbb{S}^1\)

    • Mohammad Pirhayati
    Pages 15-23

  4. A Characterization of Compact Pseudo-Differential Operators on \(\mathbb{S}^1\)

    • Shahla Molahajloo
    Pages 25-29

  5. Mellin Operators with Asymptotics on Manifolds with Corners

    • B.-W. Schulze, M. W. Wong
    Pages 31-78

  6. The Iterative Structure of the Corner Calculus

    • B.-W. Schulze
    Pages 79-103

  7. Elliptic Equations and Boundary Value Problems in Non-Smooth Domains

    • Vladimir B. Vasilyev
    Pages 105-121

  8. Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators

    • Chisato Iwasaki
    Pages 123-136

  9. L p Bounds for a Class of Fractional Powers of Subelliptic Operators

    • Julio Delgado
    Pages 137-154

  10. The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator

    • Viorel Catană
    Pages 155-171

  11. Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols

    • V. S. Rabinovich
    Pages 173-190

  12. Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane

    • Roberto DeLeo, Todor Gramchev, Alexandre Kirilov
    Pages 191-210

  13. Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations

    • Yasuo Chiba
    Pages 211-218

  14. The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems

    • Wataru Ichinose
    Pages 219-234

  15. Generalized Gevrey Ultradistributions and their Microlocal Analysis

    • Khaled Benmeriem, Chikh Bouzar
    Pages 235-250

  16. Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators

    • Leon Cohen
    Pages 251-264

  17. Time-Frequency Characterization of Stochastic Differential Equations

    • Lorenzo Galleani
    Pages 265-274

  18. Wigner Representations Associated with Linear Transformations of the Time-Frequency Plane

    • Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro
    Pages 275-288

  19. Some Remarks on Localization Operators

    • Elena Cordero, Fabio Nicola
    Pages 289-305
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Keywords

About this book

This volume consists of eighteen 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 Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.

Editors and Affiliations

  • Dipto. Matematica, Università di Torino, Torino, Italy

    Luigi Rodino

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

    M. W. Wong

  • Dept. Mathematics & Statistics, York University, North York, Canada

    Hongmei Zhu

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