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Real-Part Estimates for Solutions of the Riesz System in ℝ3

2010/04/07 by J. Morais, Morais, J., K. Guerlebeck +1
Mathematics · #30A10 #30G35 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematics and Applications #math.CV #msc:30A10 #msc:30G35

paper · pdf · doi:10.48550/arxiv.1004.1191

arxiv created 2010/04/07 · openalex publication_date 2010/04/07 · arxiv updated 2010/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

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