4 papers · 1 filter
Fueter trees for Dunkl-regular functions over alternative *-algebras
Alessandro Perotti
We prove a general Fueter Theorem over real alternative *-algebras. We show that a suitable power of the Laplacian maps Dunkl-regular functions to Dunkl monogenic functions with ax…
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…
Wirtinger operators for functions of several quaternionic variables
Alessandro Perotti
We introduce Wirtinger operators for functions of several quaternionic variables. These operators are real linear partial differential operators which behave well on quaternionic p…
Which Fueter-regular functions are holomorphic?
Alessandro Perotti, Caterina Stoppato
We provide a classification of Fueter-regular quaternionic functions in terms of the degree of complex linearity of their real differentials . Quaternionic imaginary units…