Mean value property for nonharmonic functions
Analysis of PDEs
2013-09-20 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1309.5040,
title = {Mean value property for nonharmonic functions},
author = {Tetiana Boiko and Oleg Karpenkov},
journal= {arXiv preprint arXiv:1309.5040},
year = {2013}
}