New Fueter-Type Variables Associated to the Global Operator in the Quaternionic Case

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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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Daniel Alpay, Kamal Diki, Mihaela Vajiac, New Fueter-Type Variables Associated to the Global Operator in the Quaternionic Case. Publ. Res. Inst. Math. Sci. 60 (2024), no. 4, pp. 859–891

DOI 10.4171/PRIMS/60-4-8