24 citations · 42 across the 4 of their papers we have counts for
4 papers
A direct approach to quaternionic manifolds
Graziano Gentili, Anna Gori, Giulia Sarfatti
The recent definition of slice regular function of several quaternionic variables suggests a new notion of quaternionic manifold. We give the definition of quaternionic regular man…
Ideals of regular functions of a quaternionic variable
Graziano Gentili, Giulia Sarfatti, Daniele C. Struppa
In this paper we prove that, for any , the ideal generated by slice regular functions having no common zeros concides with the entire ring of s…
Landau-Toeplitz theorems for slice regular functions over quaternions
Graziano Gentili, Giulia Sarfatti
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic function to the quaternionic setting. This theory, already rich of results, is so…
A Bloch-Landau Theorem for slice regular functions
Chiara Della Rocchetta, Graziano Gentili, Giulia Sarfatti
The Bloch-Landau Theorem is one of the basic results in the geometric theory of holomorphic functions. It establishes that the image of the open unit disc under a holo…