57 citations · 121 across the 35 of their papers we have counts for
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math.FA2018
Spectral theory of rank one perturbations of normal compact operators
Anton Baranov
We construct a functional model for rank one perturbations of compact normal operators acting in a certain Hilbert spaces of entire functions generalizing de Branges spaces. Using…
math.CV2018
Krein-type theorems and ordered structure for Cauchy-de Branges spaces
Evgeny Abakumov, Anton Baranov, Yurii Belov
We extend some results of M.G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new…
math.CV2018
De Branges spaces and Fock spaces
Anton Baranov, Hélène Bommier-Hato
Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges sp…