Frej Dahlin

collaborators

2 papers

math.FA2025

Boundary values via reproducing kernels: The Julia-CarathÃ©odory theorem

Frej Dahlin

Given a reproducing kernel $k$ on a nonempty set $X$ , we define the reproductive boundary of $X$ with respect to $k$ . Furthermore, we generalize the well known nontangential and ho…

math.FA2024

Generalized de Branges-Rovnyak spaces

Alexandru Aleman, Frej Dahlin

Given the reproducing kernel $k$ of the Hilbert space $H_{k}$ we study spaces $H_{k} (b)$ whose reproducing kernel has the form $k (1 - b b^{*})$ , where $b$ is a row-contr…