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math.CV2026
Reconstruction of a slice regular function from some of its real components
Cinzia Bisi, Antonio Carbone, Riccardo Ghiloni
A basic property of holomorphic functions defined on domains of is that is uniquely determined by its real part up to an additive constant.…
math.CV2025
Division algebras of slice-Nash functions
Cinzia Bisi, Antonio Carbone
The purpose of this paper is to introduce the notion of Nash functions in the context of slice regular functions of one quaternionic or octonionic variable. We begin with a detaile…
math.CV2025
Holomorphic functions with Nash real part
Antonio Carbone
In this paper we show that a holomorphic function, defined on an open subset of , is a complex Nash function if and only if its real part (or equivalently its ima…