Alexandru Aleman

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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 $D = \frac{\partial}{\partial t}$ on $C^\inft…

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…