On conjugate harmonic pairs \((U_r, V_{r-1})\) of multi-vector valued functions (Q2469065)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conjugate harmonic pairs \((U_r, V_{r-1})\) of multi-vector valued functions |
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On conjugate harmonic pairs \((U_r, V_{r-1})\) of multi-vector valued functions (English)
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4 February 2008
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The author together with \textit{F. Brackx} and \textit{F. Sommen} studied conjugate harmonic functions in \(\mathbb{R}^n\) [Math. Methods Appl. Sci. 25, No. 16--18, 1553--1562 (2002; Zbl 1056.30049)]. Here he proves necessary and sufficient conditions for a harmonic function with values in a Clifford algebra to possess a harmonic conjugate function.
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Clifford analysis
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