This article is cited in 14 papers

The final version of the mean value theorem for harmonic functions

V. V. Volchkov

Donetsk National University

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.

UDC: 517

Received: 19.08.1994

DOI: 10.4213/mzm1723

 English version: Mathematical Notes, 1996, 59:3, 247–252

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