Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$

Details Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$ Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$

2010-04-07

arxiv.org/abs/1004.1191v1

Mathematics

Complex Variables

Scientific paper

Main goal of this paper is to generalize Hadamard's real part theorem and
invariant forms of Borel-Carath\'eodory's theorem from complex analysis to
solutions of the Riesz system in the three-dimensional Euclidean space in the
framework of quaternionic analysis.

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