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Sequences of Harmonic Functions

  • Oliver Dimon Kellogg
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GL, volume 31)

Abstract

We have already found need of the fact that certain infinite series of harmonic functions converge to limiting functions which are harmonic. We are now in a position to study questions of this sort more systematically. Among the most useful is the following theorem due to Harnack1.

Keywords

Singular Point Harmonic Function Spherical Harmonic Infinite Sequence Closed Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1967

Authors and Affiliations

  • Oliver Dimon Kellogg
    • 1
  1. 1.Harvard UniversityCambridgeUSA

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