Pseudo-Differential Operators and Related Topics


ISBN: 978-3-7643-7513-3 (Print) 978-3-7643-7514-0 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-vii

  2. Chapter

    Pages 1-21

    Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface

  3. Chapter

    Pages 23-41

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

  4. Chapter

    Pages 43-52

    Quasilinear Hyperbolic Equations with SG-Coefficients

  5. Chapter

    Pages 53-63

    Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems

  6. Chapter

    Pages 65-78

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

  7. Chapter

    Pages 79-94

    Lp-Continuity for Pseudo-Differential Operators

  8. Chapter

    Pages 95-114

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

  9. Chapter

    Pages 115-120

    Weyl Transforms and Convolution Operators on the Heisenberg Group

  10. Chapter

    Pages 121-132

    Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus

  11. Chapter

    Pages 133-151

    Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization

  12. Chapter

    Pages 153-159

    Hudson’s Theorem and Rank One Operators in Weyl Calculus

  13. Chapter

    Pages 161-172

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

  14. Chapter

    Pages 173-192

    Ultradistributions and Time-Frequency Analysis

  15. Chapter

    Pages 193-209

    Frames and Generalized Shift-Invariant Systems

  16. Chapter

    Pages 211-226

    The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes

  17. Chapter

    Pages 227-244

    Reproducing Groups for the Metaplectic Representation