Mean value property for nonharmonic functions

Autor:	Boiko, Tetiana, Karpenkov, Oleg
Rok vydání:	2013
Předmět:	Mathematics - Analysis of PDEs Mathematics - Combinatorics 31C05 35J05 05C81
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1309.5040 Zobrazit plný text záznamu View this record from Arxiv