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Minimal Energy in the Hypersingular Case

  • Sergiy V. BorodachovEmail author
  • Douglas P. Hardin
  • Edward B. Saff
Chapter
  • 284 Downloads
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

A fundamental result of the potential theory described in Theorem 4.2.2 asserts that for any infinite compact set A and lower semicontinuous kernel K on \(A\times A\), the N-point minimal K-energy satisfies.

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Sergiy V. Borodachov
    • 1
    Email author
  • Douglas P. Hardin
    • 2
  • Edward B. Saff
    • 2
  1. 1.Department of MathematicsTowson UniversityTowsonUSA
  2. 2.Center for Constructive Approximation, Department of MathematicsVanderbilt UniversityNashvilleUSA

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