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Mathematical Notes

, Volume 59, Issue 3, pp 247–252 | Cite as

The final version of the mean value theorem for harmonic functions

  • V. V. Volchkov
Article

Abstract

We construct examples of nonharmonic functions satisfying the mean value equation for some set of spheres. These results permit us to obtain the two-circle theorem in its definitive form.

Keywords

Harmonic Function Final Version Definitive Form 
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

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. V. Volchkov
    • 1
  1. 1.Donetsk State UniversityUSSR

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