22 citations · 137 across the 27 of their papers we have counts for
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math.CV2019★ 9 cited
Equivalence of slice semi-regular functions via Sylvester operators
Amedeo Altavilla, Chiara de Fabritiis
The aim of this paper is to study some features of slice semi-regular functions on a circular domain contained in the skew-symmetric algebra of quaternions $\…
math.CV2019★ 2 cited
Implementing zonal harmonics with the Fueter principle
Amedeo Altavilla, Hendrik De Bie, Michael Wutzig
By exploiting the Fueter theorem, we give new formulas to compute zonal harmonic functions in any dimension. We first give a representation of them as a result of a suitable ladder…
math.DG2019★ 5 cited
Algebraic surfaces with infinitely many twistor lines
Amedeo Altavilla, Edoardo Ballico
We prove that a reduced and irreducible algebraic surface in containing infinitely many twistor lines cannot have odd degree. Then, exploiting the theory of quate…