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Inverse Mean Value Properties (A Survey)

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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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Authors and Affiliations

  1. Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS, 61, V.O., Bol’shoy pr, St. Petersburg, 199178, Russia

    N. Kuznetsov

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  1. N. Kuznetsov
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Correspondence to N. Kuznetsov.

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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

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