Real-Part Estimates for Solutions of the Riesz System in mathbb{R}³
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🧮 math.CV
keywords
analysisrieszsolutionssystemtheoremborel-carathcomplexeodory
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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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