2 papers
math.CV2026
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…
math.CV2026
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…