Open Access
2018 Uniqueness Properties of Harmonic Functions
Steven G. Krantz
Real Anal. Exchange 43(2): 445-450 (2018). DOI: 10.14321/realanalexch.43.2.0445


We study the zero set of a harmonic function of several real variables. Using the theory of real analytic functions, we analyze such sets. We generalize these results to solutions of elliptic partial differential equations with constant coefficients.


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Steven G. Krantz. "Uniqueness Properties of Harmonic Functions." Real Anal. Exchange 43 (2) 445 - 450, 2018.


Published: 2018
First available in Project Euclid: 27 June 2018

zbMATH: 06859103
MathSciNet: MR3942589
Digital Object Identifier: 10.14321/realanalexch.43.2.0445

Primary: 32T35
Secondary: 32T05 , 32T27

Keywords: Harmonic function , real analytic , uniqueness , Zero set

Rights: Copyright © 2018 Michigan State University Press

Vol.43 • No. 2 • 2018
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