234 citations · 717 across the 29 of their papers we have counts for
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math.CV2021★ 6 cited
Slice regular functions and orthogonal complex structures over
Riccardo Ghiloni, Alessandro Perotti, Caterina Stoppato
This work looks at the theory of octonionic slice regular functions through the lens of differential topology. It proves a full-fledged version of the Open Mapping Theorem for octo…
math.CV2021
A local Cauchy integral formula for slice-regular functions
Alessandro Perotti
We prove a Cauchy-type integral formula for slice-regular functions where the integration is performed on the boundary of an open subset of the quaternionic space, with no requirem…
math.CV2021★ 5 cited
Eigenvalue problems for slice functions
Rolf Sören Krausshar, Alessandro Perotti
This paper addresses particular eigenvalue problems within the context of two quaternionic function theories. More precisely, we study two concrete classes of quaternionic eigenval…