Mean-value characterization of pluriharmonic and separately harmonic functions (Q1816494)
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scientific article; zbMATH DE number 950170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean-value characterization of pluriharmonic and separately harmonic functions |
scientific article; zbMATH DE number 950170 |
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Mean-value characterization of pluriharmonic and separately harmonic functions (English)
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15 June 1997
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We prove that finitely many mean-value conditions characterize pluriharmonic functions. A similar result holds also for separately harmonic functions. For the literature on Morera type theorems of this kind for holomorphic, harmonic or CR functions we refer to \textit{L. Zalcman}'s survey in [Approximation by solutions of partial differential equations, Proc. NATO Adv. Res. Workshop. Hanstholm/Den. 1991, NATO ASI Ser., Ser. C 365, 185-194 (1992; Zbl 0830.26005)].
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pluriharmonic functions
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mean-value theorems
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separately harmonic functions
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