Logarithmic potentials with external fields /

This treatment of potential theory emphasizes the effects of an external field (or weight) on the minimum energy problem. Several important aspects of the external field problem (and its extension to signed measures) justify its special attention. The most striking is that it provides a unified appr...

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Bibliographic Details
Main Author: Saff, E. B., 1944-
Corporate Author: SpringerLink (Online service)
Other Authors: Totik, V.
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1997]
Series:Grundlehren der mathematischen Wissenschaften ; 316.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preliminaries
  • Weighted Potentials
  • Recovery of Measures, Green Functions and Balayage
  • Weighted Polynomials
  • Determination of the Extremal Measure
  • Extremal Point Methods
  • Weights on the Real Line
  • Applications Concerning Orthogonal Polynomials
  • Signed Measures
  • Appendix A. The Dirichlet Problem and Harmonic Measures
  • Appendix B. Weighted Approximation in CN
  • Basic Results of Potential Theory
  • Bibliography
  • List of Symbols
  • Index.