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Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

  • Conference proceedings
  • © 2010

Overview

Editors:
  1. Bert-Wolfgang Schulze

    1. Institut für Mathematik, Universität Potsdam, Potsdam, Germany

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  2. M. W. Wong

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

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    You can also search for this editor in PubMed   Google Scholar

  • The expository paper on pseudo-differential operators and boundary value problems targeted at graduate students and post-docs is a focal point of the volume
  • An emphasis is placed on explicit formulas in complex analysis for the first time
  • Papers on applications and computations in time-frequency analysis are included
  • Papers from experts in physical, engineering and medical sciences are presented
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 205)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Boundary Value Problems with the Transmission Property

    • B.-W. Schulze
    Pages 1-50

  3. Spectral Invariance of SG Pseudo-Differential Operators on L pℝn

    • Aparajita Dasgupta, M. W. Wong
    Pages 51-57

  4. Edge-Degenerate Families of Pseudo-Differential Operators on an Infinite Cylinder

    • J. Abed, B.-W. Schulze
    Pages 59-80

  5. Global Regularity and Stability in S-Spaces for Classes of Degenerate Shubin Operators

    • Todor Gramchev, Stevan Pilipović, Luigi Rodino
    Pages 81-90

  6. Weyl’s Lemma and Converse Mean Value for Dunkl Operators

    • M. Maslouhi, R. Daher
    Pages 91-100

  7. Dirichlet Problems for Inhomogeneous Complex Mixed-Partial Differential Equations of Higher order in the Unit Disc: New View

    • H. Begehr, Zhihua Du, Ning Wang
    Pages 101-128

  8. Dirichlet Problems for the Generalized n-Poisson Equation

    • Ü. Aksoy, A. O. Çelebi
    Pages 129-141

  9. Schwarz, Riemann, Riemann-Hilbert Problems and Their Connections in Polydomains

    • Alip Mohammed
    Pages 143-166

  10. L p-Boundedness of Multilinear Pseudo-Differential Operators

    • Viorel Catană, Shahla Molahajloo, M. W. Wong
    Pages 167-180

  11. A Trace Formula for Nuclear Operators on L p

    • Julio Delgado
    Pages 181-193

  12. Products of Two-Wavelet Multipliers and Their Traces

    • Viorel Catană
    Pages 195-211

  13. Pseudo-Differential Operators on ℤ

    • Shahla Molahajloo
    Pages 213-221

  14. Pseudo-Differential Operators with Symbols in Modulation Spaces

    • Joachim Toft
    Pages 223-234

  15. Phase-Space Differential Equations for Modes

    • Leon Cohen
    Pages 235-250

  16. Two-Window Spectrograms and Their Integrals

    • Paolo Boggiatto, Giuseppe De Donno, Alessandro Oliaro
    Pages 251-268

  17. Time-Time Distributions for Discrete Wavelet Transforms

    • C. R. Pinnegar, H. Khosravani, P. Federico
    Pages 269-276

  18. The Stockwell Transform in Studying the Dynamics of Brain Functions

    • Cheng Liu, William Gaetz, Hongmei Zhu
    Pages 277-291
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Keywords

Editors and Affiliations

  • Institut für Mathematik, Universität Potsdam, Potsdam, Germany

    Bert-Wolfgang Schulze

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

    M. W. Wong

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