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Generalization of Fedorov's theorem to \(M\)-harmonic functions - MaRDI portal

Generalization of Fedorov's theorem to \(M\)-harmonic functions (Q1905313)

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scientific article; zbMATH DE number 830753
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Generalization of Fedorov's theorem to \(M\)-harmonic functions
scientific article; zbMATH DE number 830753

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    Generalization of Fedorov's theorem to \(M\)-harmonic functions (English)
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    1994
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    The author gives a generalization of Fedorov's theorem to \(M\)-harmonic functions on a subdomain \(D\) of the unit ball \(\mathbb{B}\) in \(\mathbb{C}^n\). Under certain conditions on the normal derivative, the author proves a removable singularity theorem for continuous functions \(u\) on \(D\), which are \(M\)-harmonic on \(D\setminus E\) and vanish on \(E\), where \(E\) is an everywhere discontinuous closed subset of \(D\).
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    invariant Laplace operator
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    Fedorov's theorem
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    \(M\)-harmonic functions
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    removable singularity
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