234 citations · 717 across the 29 of their papers we have counts for
29 papers
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…
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…
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…
Cauchy-Riemann operators and local slice analysis over real alternative algebras
Alessandro Perotti
We prove some formulas relating Cauchy-Riemann operators defined on hypercomplex subspaces of an alternative *-algebra to a differential operator associated with the concept of sli…
Slice regular functions and orthogonal complex structures over
Riccardo Ghiloni, Alessandro Perotti, Caterina Stoppato
This work looks at the theory of octonionic slice regular functions through the lens of differential topology. It proves a full-fledged version of the Open Mapping Theorem for octo…