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.

A unified notion of regularity in one hypercomplex variable / Ghiloni, R.; Stoppato, C.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - STAMPA. - 202:(2024). [10.1016/j.geomphys.2024.105219]

A unified notion of regularity in one hypercomplex variable

Ghiloni R.;Stoppato C.
2024-01-01

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.
2024
Ghiloni, R.; Stoppato, C.
A unified notion of regularity in one hypercomplex variable / Ghiloni, R.; Stoppato, C.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - STAMPA. - 202:(2024). [10.1016/j.geomphys.2024.105219]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/410434
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