Abstract
It is proven that for an octonion-valued monogenic function $f(\mathbf{x})$, $\mathbf{x} \in \mathbf{R}^8$, its powers $|f|^p$ are subharmonic for any $p\geq 6/7$. This implies, in particular, Hadamard's three circles and three lines theorems and a Phragmén-Lindelöf theorem for monogenic functions.
Citation
Alexander Kheyfits . David Tepper. "Subharmonicity of Powers of Octonion-Valued Monogenic Functions and Some Applications." Bull. Belg. Math. Soc. Simon Stevin 13 (4) 609 - 617, December 2006. https://doi.org/10.36045/bbms/1168957338
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