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On the mean value property for polyharmonic functions |
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| Authors: | Grzegorz ?ysik |
| Affiliation: | 1. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland 2. Jan Kochanowski University, Kielce, Poland |
| Abstract: | We derive differential relations between spherical and solid means of continuous functions. Next we use the relations to give inductive proofs of the mean value property for polyharmonic functions and its converse in arbitrary dimension. |
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