New Fueter Variables Associated to the Global Operator in the Quaternionic Case
Daniel Alpay, Kamal Diki, Mihaela Vajiac
TL;DR
This paper introduces a new theory of three non-commuting quaternionic variables and develops related Schur analysis for a modified quaternionic global operator.
Contribution
It presents a novel framework for quaternionic variables and extends Schur analysis to a new class of quaternionic operators.
Findings
New quaternionic variables theory established
Schur analysis extended to modified quaternionic operators
Potential applications in quaternionic function theory
Abstract
The purpose of this paper is to develop a new theory of three non-commuting quaternionic variables and its related Schur analysis theory for a modified version of the quaternionic global operator.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Matrix Theory and Algorithms · Advanced Topics in Algebra