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math.FA2023★ 1 cited
On cyclicity in de Branges-Rovnyak spaces
Alex Bergman
We study the problem of characterizing the cyclic vectors in de Branges-Rovnyak spaces. Based on a description of the invariant subspaces we show that the difficulty lies entirely…
math.CV2023★ 5 cited
Chebyshev polynomials corresponding to a vanishing weight
Alex Bergman, Olof Rubin
We consider weighted Chebyshev polynomials on the unit circle corresponding to a weight of the form where . For integer values of this corresponds to prescribing…