Giulio Binosi

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20242026

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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…

math.CV2024

Slice regular holomorphic Cliffordian functions of order $k$

Giulio Binosi

Holomorphic Cliffordian functions of order $k$ are functions in the kernel of the differential operator $\partial Δ^{k}$ . When $\partial Δ^{k}$ is applied to functi…

Dunkl regularity over alternative ∗-algebras

Polyharmonicity, Almansi-type decompositions and Fueter-Sce theorem for several Clifford variables

Dunkl approach to slice regular functions

Slice regular holomorphic Cliffordian functions of order k

Dunkl regularity over alternative $*$ -algebras

Slice regular holomorphic Cliffordian functions of order $k$