Carleman approximation by non-critical functions on Riemann surfacesUčakar, Beno (Avtor) Carleman approximationholomorphic functionscritical pointsnon-critical functionssemi-admissible setsWe 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.20262026-02-03 10:49:35Članek v reviji179019UDK: 517.5ISSN pri članku: 1664-2368DOI: 10.1007/s13324-025-01157-4COBISS_ID: 267095811sl