Geodesic
A refined nc Oka–Weil theorem
Canadian mathematical bulletin, Tome 66 (2023) no. 1, pp. 218-224

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DOI

This short note refines a noncommutative (nc) Oka–Weil theorem by using a characterization of free compact nc sets based on the notion of dilation hulls. A consequence of it is that any free holomorphic function can be represented as a free polynomial on each free compact nc set.
DOI : 10.4153/S0008439521000916
Mots-clés : nc Oka–Weil theorem, nc functions, free holomorphic functions 
Kojin, Kenta. A refined nc Oka–Weil theorem. Canadian mathematical bulletin, Tome 66 (2023) no. 1, pp. 218-224. doi: 10.4153/S0008439521000916
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     title = {A refined nc {Oka{\textendash}Weil} theorem},
     journal = {Canadian mathematical bulletin},
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     year = {2023},
     volume = {66},
     number = {1},
     doi = {10.4153/S0008439521000916},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000916/}
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