2 citations · 4 across the 12 of their papers we have counts for
4 papers · 2 filters
Holomorphicity of slice-regular functions
Samuele Mongodi
Slice-regular functions of a quaternionic variable have been studied extensively in the last 12 years, resulting, in many ways, quite close to classical holomorphic functions of a…
Oka principle for Levi flat manifolds
Samuele Mongodi, Giuseppe Tomassini
The name of Oka principle, or Oka-Grauert principle, is traditionally used to refer to the holomorphic incarnation of the homotopy principle: on a Stein space, every problem that c…
Weakly complete domains in Grauert type surfaces
Samuele Mongodi
The aim of this short note is to investigate the geometry of weakly complete subdomains of Grauert type surfaces, i.e. open connected sets D, sitting inside a Grauert type surface…
The Cauchy transform in the slice hyperholomorphic setting and related topics
Fabrizio Colombo, Samuele Mongodi
In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introd…