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math.CV2025
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…
math.CA2025
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…
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…