Pseudo-Differential Operators and Related Topics

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. L^p-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

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.

• Distribution
• convolution
• hyperbolic equation
• integral equations
• partial differential equation
• partial differential equations
• pseudo-differential operators

• 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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