20.500.12556/RUL-179019 Carleman approximation by non-critical functions on Riemann surfaces 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. Carleman approximation holomorphic functions critical points non-critical functions semi-admissible sets Carlemanova aproksimacija holomorfne funkcije kritične točke nekritične funkcije semi-dopustne množice true false true Angleški jezik Slovenski jezik Članek v reviji 2026-02-03 10:49:35 2026-02-03 10:49:37 2026-02-04 04:36:58 0000-00-00 00:00:00 2026 0 0 18 str. iss. 1, article no. 19 Vol. 16 Feb. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-02-01 517.5 1664-2368 10.1007/s13324-025-01157-4 267095811 s13324-025-01157-4.pdf s13324-025-01157-4.pdf 1 F9239F9DD37F0C1468C127A4605E9225 5fcc6372348e96242cda75736bd320a4321c85033c6a28acf7ca809aea79c2e9 e03b2826-00e5-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=227094 https://link.springer.com/article/10.1007/s13324-025-01157-4 1 94f0655f-00e5-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=227093 Fakulteta za matematiko in fiziko 0 0 0