Mean value property for nonharmonic functions


Boiko, Tetiana and Karpenkov, Oleg ORCID: 0000-0002-3358-6998 (2013) Mean value property for nonharmonic functions.

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Abstract

In this article we extend the mean value property for harmonic functions to the nonharmonic case. In order to get the value of the function at the center of a sphere one should integrate a certain Laplace operator power series over the sphere. We write explicitly such series in the Euclidean case and in the case of infinite homogeneous trees.

Item Type: Article
Uncontrolled Keywords: math.AP, math.AP, math.CO, 31C05, 35J05, 05C81
Depositing User: Symplectic Admin
Date Deposited: 17 Oct 2017 07:19
Last Modified: 19 Jan 2023 07:25
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3004476
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