4 citations · 10 across the 6 of their papers we have counts for
7 papers
Dual slice functions and dual quaternionic polynomials
Giulio Binosi, Caterina Stoppato
This work constructs a new function class over the algebra of dual quaternions: dual slice functions, which include one-sided dual quaternionic polynomials. The peculiar properties…
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…
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…
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…
Slice regular holomorphic Cliffordian functions of order
Giulio Binosi
Holomorphic Cliffordian functions of order are functions in the kernel of the differential operator . When is applied to functi…
Partial slice regularity and Fueter's Theorem in several quaternionic variables
Giulio Binosi
We extend some definitions and give new results about the theory of slice analysis in several quaternionic variables. The sets of slice functions which are respectively slice, slic…
Almansi-type decomposition for slice regular functions of several quaternionic variables
Giulio Binosi
In this paper we propose an Almansi-type decomposition for slice regular functions of several quaternionic variables. Our method yields distinct and unique decompositions for…