Several mean value identities for harmonic and panharmonic functions are reviewed along with the corresponding inverse properties. The latter characterize balls, annuli, and strips analytically via these functions.
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Translated from Problemy Matematicheskogo Analiza 115, 2022, pp. 41-53.
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Kuznetsov, N. Inverse Mean Value Properties (A Survey). J Math Sci 262, 275–290 (2022). https://doi.org/10.1007/s10958-022-05816-w
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DOI: https://doi.org/10.1007/s10958-022-05816-w