5 citations · 6 across the 6 of their papers we have counts for
7 papers
A remark on the Beurling-Malliavin theorem in several variables
Alex Bergman
We use a lifting trick to show that the Beurling-Malliavin multiplier theorem extends to radial functions in several variables in a straightforward way. This simplifies an argument…
Inner approximations of doubling weights with applications to Beurling-Malliavin theory in Toeplitz kernels
Alex Bergman
A meromorphic inner function is a bounded holomorphic function in the upper half-plane which is unimodular on the real line and extends to a meromorphic function in the whole compl…
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…
Hörmander's Inequality and Point Evaluations in de Branges Space
Alex Bergman
Let be an entire function of finite exponential type less than or equal to which is bounded by on the real axis and satisfies . Under these assumptions Hörman…
A Sharp Entropy Condition For The Density Of Angular Derivatives
Alex Bergman
Let be a holomorphic self-map of the unit disc. We show that if is integrable on a sub-arc of the unit circle, , then the set of points where t…
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…
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…