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arXiv · 1904.08312

Mean value properties of harmonic functions and related topics (a survey)

Nikolay Kuznetsov
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Abstract

Results involving various mean value properties are reviewed for harmonic, biharmonic and metaharmonic functions. It is also considered how the standard mean value property can be weakened to imply harmonicity and belonging to other classes of functions.

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Nikolay Kuznetsov. 2019-04-15. Mean value properties of harmonic functions and related topics (a survey). https://arxiv.org/abs/1904.08312

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