24 citations · 47 across the 6 of their papers we have counts for
6 papers · 1 filter
Resultants of slice regular polynomials in two quaternionic variables
Anna Gori, Giulia Sarfatti, Fabio Vlacci
We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonné determinant.We use this tool to inve…
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…
The orthogonal projection on slice functions on the quaternionic sphere
Nicola Arcozzi, Giulia Sarfatti
We study the norm of the orthogonal projection from the space of quaternion valued functions to the closed subspace of slice functions.
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…