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Continuous Energy and Its Relation to Discrete Energy

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

Abstract

This chapter deals with the continuous minimal energy problem on a compact set A in \(\mathbb R^p\) with respect to a symmetric and lower semicontinuous kernel K. The asymptotic behavior as N gets large of the discrete minimal energy problem on A (introduced in Section 2.1) is also studied when A has nonzero K-capacity; i.e., finite Wiener constant.

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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