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, Riccardo; Stoppato, Caterina. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - STAMPA. - 202:(2024), pp. 10521901-10521913. [10.1016/j.geomphys.2024.105219]
A unified notion of regularity in one hypercomplex variable
Ghiloni, Riccardo;Stoppato, Caterina
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.File | Dimensione | Formato | |
---|---|---|---|
1-s2.0-S0393044024001207-main.pdf
accesso aperto
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Creative commons
Dimensione
413.9 kB
Formato
Adobe PDF
|
413.9 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione