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Proceedings of the Ashkelon Workshop on Complex Function Theory (May 1996)
Edited by: Lawrence Zalcman, Bar-Ilan University, Ramat-Gan, Israel
A publication of Bar-Ilan University.
Israel Mathematical Conference Proceedings
1997; 245 pp; softcover
Volume: 11
List Price: US$59
Member Price: US$47.20
Order Code: IMCP/11
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This volume comprises the scientific proceedings of the Spring Workshop in Complex Function Theory held in Ashkelon, Israel. The papers vary in form from brief and highly focused research announcements to detailed and relatively leisurely expositions of areas of current research. In content, the papers represent a wide variety of interests within complex analysis, ranging from approximation theory and the analytic theory of polynomials to quasiconformal mappings, complex dynamics, and spectral geometry. There are papers on spaces of analytic functions on the disc, on entire, subharmonic, and meromorphic functions, and on function theory on Riemann surfaces. More specialized topics discussed include the application of theta functions to partition identities, Fuchsian differential equations for matrix-valued analytic functions, and duality in one and several complex variables. Three papers deal with various aspects of mean-value conditions, a topic of particular interest to a number of Israeli analysts.

This volume of proceedings presents a snapshot view of current Israeli activity in complex function and provides impressive evidence of the vigor, enthusiasm, and success with which classical complex analysis is cultivated in Israel today.

A publication of the Bar-Ilan University. Distributed worldwide by the AMS.

Readership

Graduate students and research mathematicians working in complex analysis and related fields.

Table of Contents

  • M. L. Agranovsky -- Radon transforms on polynomial level sets and related problems
  • D. Aharonov -- An invariant generalization of the Mauldon inclination theorem
  • L. A. Aizenberg -- Duality in complex analysis
  • A. Atzmon -- Entire functions, invariant subspaces and Fourier transforms
  • V. S. Azarin -- On the Valiron-Titchmarsh theorem and limit sets of entire functions
  • R. Brooks -- Some relations between graph theory and Riemann surfaces
  • H. M. Farkas -- A variation on a theorem of Euler
  • R. Greiner -- On a theorem of Andrievskii and Ruscheweyh
  • W. Haussmann and K. Zeller -- Canonical point sets in multivariate constructive function theory
  • C. Horwitz and B. Pinchuk -- A survey of recent results in \(A^{-n}\) and \(A^{-\infty}\)
  • V. E. Katsnelson -- Fuchsian differential systems related to rational matrix functions in general position and the joint system realization
  • A. Kheifets -- Nehari's interpolation problem and exposed points of the unit ball in the Hardy space \(H^1\)
  • J. J. Klinkhammer -- On the Pompeiu problem in \(\mathbb{R}^n\)
  • I. Kra -- On a Ramanujan partition identity
  • S. L. Krushkal -- On quasireflections and holomorphic functions
  • G. Levin -- The adjoint equation for the eigenvalues of transfer operators on holomorphic repellers
  • N. S. Nadirashvili -- Conformal maps and isoperimetric inequalities for eigenvalues of the Neumann problem
  • R. Peretz and J. Schmid -- On the zero sets of certain complex polynomials
  • O. Rubanov and E. Yakubov -- On Teichmüller-Jacobian space and nonlinear equations
  • S. Ruscheweyh and L. C. Salinas -- On an arc-length problem for polynomials on the Cauchy circle
  • M. Sodin and P. M. Yuditskii -- Another approach to de Branges' theorem on weighted polynomial approximation
  • U. Srebro and E. Yakubov -- Uniformization of maps with folds
  • Y. Weit -- On the mean value property and harmonic functions
  • L. A. Zalcman -- New light on normal families
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