64 citations · 583 across the 32 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.CV2024
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…
math.CV2024★ 1 cited
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…
math.CV2024★ 1 cited
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…