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arXiv · 2109.02579

Asymptotic mean value properties of meta- and panharmonic functions

Nikolay Kuznetsov
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Abstract

Asymptotic mean value properties, their converse and some other related results are considered for solutions to the $m$-dimensional Helmholtz equation (metaharmonic functions) and solutions to its modified counterpart (panharmonic functions). Some of these properties have no analogues for harmonic functions.

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Nikolay Kuznetsov. 2021-09-06. Asymptotic mean value properties of meta- and panharmonic functions. https://arxiv.org/abs/2109.02579

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