Work

A unified notion of regularity in one hypercomplex variable

Year: 2024

Type: article

Abstract: We define a very general notion of regularity for functions taking values in an alternative real ⁎-algebra. Over Clifford numbers, this notion subsumes the well-established notions of monogenic function and slice-monogenic function. Over quaternions, in addition to subsuming the notions of Fueter-regular function and of slice-regular function, it gives rise to an entirely new theory, which we develop in some detail.

Source: Journal of Geometry and Physics

DOI: 10.1016/j.geomphys.2024.105219

Authors: Riccardo Ghiloni, Caterina Stoppato

Institutions: University of Trento, University of Florence

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Firenze, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni