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Pseudo-Differential Operators and Related Topics

  • Conference proceedings
  • © 2006

Overview

Editors:
  1. Paolo Boggiatto

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

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  2. Luigi Rodino

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

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  3. Joachim Toft

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

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  4. M. W. Wong

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

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  • Recent results on pseudo-differential operators are included
  • The role of pseudo-differential operators in analysis and mathematics is emphasized
  • 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 164)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-vii
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  2. Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface

    • M.S. Agranovich
    Pages 1-21

  3. Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators

    • Alessia Ascanelli, Massimo Cicognani
    Pages 23-41

  4. Quasilinear Hyperbolic Equations with SG-Coefficients

    • Marco Cappiello, Luisa Zanghirati
    Pages 43-52

  5. Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems

    • Ilia Kamotski, Michael Ruzhansky
    Pages 53-63

  6. Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations

    • Michael Ruzhansky, Mitsuru Sugimoto
    Pages 65-78

  7. Lp-Continuity for Pseudo-Differential Operators

    • Gianluca Garello, Alessandro Morando
    Pages 79-94

  8. Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces

    • V.S. Rabinovich
    Pages 95-114

  9. Weyl Transforms and Convolution Operators on the Heisenberg Group

    • M.W. Wong
    Pages 115-120

  10. Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus

    • Maurice de Gosson
    Pages 121-132

  11. Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization

    • Kenro Furutani
    Pages 133-151

  12. Hudson’s Theorem and Rank One Operators in Weyl Calculus

    • Joachim Toft
    Pages 153-159

  13. Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics

    • Andrei Khrennikov
    Pages 161-172

  14. Ultradistributions and Time-Frequency Analysis

    • Nenad Teofanov
    Pages 173-192

  15. Frames and Generalized Shift-Invariant Systems

    • Ole Christensen
    Pages 193-209

  16. The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes

    • Patrik Wahlberg
    Pages 211-226

  17. Reproducing Groups for the Metaplectic Representation

    • E. Cordero, F. De Mari, K. Nowak, A. Tabacco
    Pages 227-244
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Keywords

About this book

This volume consists of sixteen peer-reviewed articles based on the invited talks at the International Conference on Pseudo-Differential Operators and Related Topics held at Växjö University in Sweden from June 22 to June 25, 2004. The objective is to look at pseudo-differential operators and related topics and to report recent advances in a broad spectrum of topics such as partial differential equations, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics, time-frequency analysis, frames, and stochastic processes. The book should be of great interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. It is a valuable complement to the volume "Advances in Pseudo-Differential Operators" published in the same series in 2004.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Torino, Torino, Italy

    Paolo Boggiatto, Luigi Rodino

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

    Joachim Toft

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

    M. W. Wong

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