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.
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Translated fromMatematicheskie Zametki, Vol. 59, No. 3, pp. 351–358, March, 1996.
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Volchkov, V.V. The final version of the mean value theorem for harmonic functions. Math Notes 59, 247–252 (1996). https://doi.org/10.1007/BF02308535
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DOI: https://doi.org/10.1007/BF02308535