3 papers
math.FA2025
Invariant Subspaces for Generalized Differentiation and Volterra Operators
Alexandru Aleman, Alex Bergman
In this paper we provide a far-reaching generalization of the existent results about invariant subspaces of the differentiation operator on $C^\inft…
math.CV2024
Brennan's conjecture holds for semigroups of holomorphic functions
Alexandru Aleman, Athanasios Kouroupis
In the present note, we give a short proof of Brennan's conjecture in the special case of continuous semigroups of holomorphic functions. We apply classical techniques of complex a…
math.FA2024
Generalized de Branges-Rovnyak spaces
Alexandru Aleman, Frej Dahlin
Given the reproducing kernel of the Hilbert space we study spaces whose reproducing kernel has the form , where is a row-contr…