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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…