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Integral representation of harmonic functions defined outside a compact set in a harmonic space
Journal article   Peer reviewed

Integral representation of harmonic functions defined outside a compact set in a harmonic space

S Al Hemedan and M Damlakhi
Potential analysis, Vol.18(1), pp.35-41
01/02/2003
DOI: https://doi.org/10.1023/A:1020571803677

Abstract

Mathematics Physical Sciences Science & Technology
Given here is an integral representation for any harmonic function u greater than or equal to 0 defined outside a compact set in a Brelot harmonic space Omega with or without positive potentials by means of signed measurers on Omega. This generalizes the Bocher theorem on positive harmonic singularities in R-n, n greater than or equal to 2.

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