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Technology Book from C.H.I.P.S.

Complex and Harmonic Analysis
edited by Anthony Carberry

Complex and Harmonic Analysis contains 23 original and fully refereed chapters, developed from presentations at a conference at the Aristotle University of Thessaloniki, Greece, held in May 2006.

Complex and Harmonic Analysis represents a valuable overview of current research in the mathematical area of complex and harmonic analysis.

Among the subjects investigated are:

  • Geometric Function Theory and Complex Iteration
  • Function Spaces and Composition Operators
  • Extremal Problems, Potential Theory
  • Maximal Functions, Analysis on Manifolds

Contents

  1. The Mathematical Work of Nikos Danikas
  2. Danikas Measures
  3. More Results on Functional Avoidance
  4. Schwarzian Derivatives of Analytic and Harmonic Functions
  5. The Farthest Point Distance Function
  6. A Survey of Certain Extremal Problems for Non-Vanishing Analytic Functions
  7. Iteration in the Unit Disk: The Parabolic Zoo
  8. Rigidity Results for Holomorphic Mappings on the Unit Disk
  9. Geometry of Polynomials and Majorization Theory
  10. Weighted Hardy Spaces for the Unit Disc: Approximation Properties
  11. Composition Operators on the Minimal Space Invariant Under Möbius Transformations
  12. The Characterization of the Carleson Measures for Analytic Besov Spaces: A Simple Proof
  13. S-Toeplitz Composition Operators
  14. Riemann-Stieltjes Operators Between Weighted Bergman Spaces
  15. Approximation by Translates of Entire Functions
  16. Universal Taylor Series on a Non-Simply Connected Domain and Hadamard-Ostrowski Gaps
  17. Boundary Extension of m-Homeomorphisms
  18. Covering the Plane by Rotations of a Lattice Arrangement of Disks
  19. On Certain Hardy-Littlewood Type Maximal Operators
  20. On the Restriction of the Fourier Transform to Polynomial Curves
  21. Spectral Multipliers on Kleinian Groups
  22. Bounds of the Heat Kernel Derivatives on Hyperbolic Spaces
Index

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Complex and Harmonic Analysis
edited by Anthony Carberry
2007 • 326 pages • $65.00 + shipping
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