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On metaharmonic functions. (Russian. English summary) Zbl 0063.07996

Tr. Tbilis. Mat. Inst. 12, 105-174 (1943).
The results of the paper reviewed above [Zbl 0063.08021] are given in much greater detail, in some instances with different proofs. In addition, there is a discussion of \(n\)-metaharmonic functions.
See also the review of the English translation [Lect. Notes TICMI 14, 62 p. (2013; Zbl 1290.31009).

MSC:

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions