Sequences of Harmonic Functions

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


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.


Singular Point Harmonic Function Spherical Harmonic Infinite Sequence Closed Region 
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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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