Which sets are images of disk‐algebra functions?

Raymond Mortini and Peter Pflug

Mathematische Nachrichten, 2023, vol. 296, issue 9, 4298-4316

Abstract: We give a characterization of those compact sets in the plane with finitely many holes that are images of disk‐algebra functions. We also show that the image of the closed unit disk via a polynomial is, in general, not polynomially convex.

Date: 2023
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