2025/08/07 by Beno Učakar, Učakar, Beno
Mathematics · Computer Science · #advanced mathematical theories #Advanced Mathematical Modeling in Engineering
paper · pdf · doi:10.1007/s13324-025-01157-4
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.