Carleman approximation by non-critical functions on Riemann surfaces
Abstract
Abstract We present the class of semi-admissible subsets of an open Riemann surface on which Carleman approximation by non-critical holomorphic functions is possible. In particular we characterize closed sets with empty interior on which continuous functions can be approximated by non-critical holomorphic ones. We also consider a different approach, which in some cases gives uniform approximation by non-critical holomorphic functions on more general sets than semi-admissible ones.
Fields of Study & Subjects
advanced mathematical theories
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Analysis and Mathematical Physics
- Volume
- 16
- Issue
- 1
- Publication date
- 1 February 2026
- Language
- EN