3 papers
math.CV2026
Dunkl regularity over alternative -algebras
Giulio Binosi, Alessandro Perotti
We characterise slice-regularity of functions over a real alternative *-algebra using operators that arise in Dunkl operator theory. We present a unifying perspective on hypercompl…
math.CV2025
Polyharmonicity, Almansi-type decompositions and Fueter-Sce theorem for several Clifford variables
Giulio Binosi
We study some harmonic properties of slice regular functions in one and several Clifford variables and give explicit formulas of the iterated Laplacian applied to slice regular fun…
math.CV2024
Dunkl approach to slice regular functions
Giulio Binosi, Hendrik De Bie, Pan Lian
In this paper, we establish a connection between Dunkl analysis and slice analysis in the setting of Clifford algebras. Specifically, we show that a Clifford algebra-valued functio…