Borel-Carath\'{e}odory Type Theorem for monogenic functions
K. G\"urlebeck, J. Morais, P. Cerejeiras
TL;DR
This paper extends the classical Borel-Carathéodory Theorem from complex analysis to higher dimensions using Quaternionic Analysis, broadening its applicability in mathematical analysis.
Contribution
It introduces a generalized version of the Borel-Carathéodory Theorem within the framework of Quaternionic Analysis for higher-dimensional functions.
Findings
Generalization of the theorem to quaternionic functions
Application to higher-dimensional analysis
Potential implications for mathematical physics
Abstract
In this paper we give a generalization of the classical Borel-Carath\'{e}odory Theorem in complex analysis to higher dimensions in the framework of Quaternionic Analysis.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Advanced Topics in Algebra