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arxiv: 1904.08312 · v2 · pith:6APWI4UFnew · submitted 2019-04-15 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords functionsmeanvalueharmonicpropertiesbelongingbiharmonicclasses
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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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