Discrepancy Theorems via Two-Sided Bounds for Potentials

  • Vladimir V. Andrievskii
  • Hans-Peter Blatt
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In potential theory it is well known that a mass distribution σ is uniquely determined by its potential U σ . In this chapter we shall consider different ways of making this fact more precise for signed measures σ = σ +σ that are supported on curves or arcs L.

Keywords

Conformal Mapping Signed Measure Jordan Curve Positive Part Discrepancy Theorem 
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Historical Comments

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Vladimir V. Andrievskii
    • 1
  • Hans-Peter Blatt
    • 2
  1. 1.Department of Mathematics and Computer ScienceKent State UniversityKentUSA
  2. 2.Mathematisch-Geographische FakultätKatholische Universität EichstättEichstättGermany

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