The Determination of a Harmonic Function by Its Sign
D. H. Armitage
Source: Real Anal. Exchange Volume 33, Number 2
(2007), 275-278.
Abstract
We give an improvement of the result that if $hP\ge0$ on $\R^n$, where $h$ is a harmonic function and $P$ a non-trivial harmonic polynomial, then $h$ is proportional to $P$.
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Permanent link to this document: http://projecteuclid.org/euclid.rae/1229619405
Mathematical Reviews number (MathSciNet): MR2458244
Zentralblatt MATH identifier: 05499467
References
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Project Euclid: euclid.hmj/1151105724
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