64 citations · 583 across the 32 of their papers we have counts for
33 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…
A manifold Fueter-Sce phenomenon in one hypercomplex variable
Riccardo Ghiloni, Caterina Stoppato
Fueter's theorem states, in modern terms, that the Laplacian maps slice-regular quaternionic functions into Fueter-regular functions with axial symmetry. This phenomenon is also pr…
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…
A unified theory of regular functions of a hypercomplex variable
Riccardo Ghiloni, Caterina Stoppato
This work proposes a unified theory of regularity in one hypercomplex variable: the theory of -regular functions. In the special case of quaternion-valued functions of one quate…
On a higher-dimensional worm domain and its geometric properties
Steven G. Krantz, Marco M. Peloso, Caterina Stoppato
We construct new -dimensional variants of the classical Diederich-Fornaess worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We…
Quaternionic slice regularity beyond slice domains
Riccardo Ghiloni, Caterina Stoppato
After Gentili and Struppa introduced in 2006 the theory of quaternionic slice regular function, the theory has focused on functions on the so-called slice domains. The present work…