57 citations · 121 across the 35 of their papers we have counts for
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Riesz bases of reproducing kernels in Fock type spaces and de Branges spaces
Anton Baranov, Yurii Belov, Alexander Borichev
We describe the radial Fock type spaces which possess Riesz bases of normalized reproducing kernels and which are (are not) isomorphic to de Branges spaces in terms of the weight f…
De Branges functions of Schroedinger equations
Anton Baranov, Yurii Belov, Alexei Poltoratski
We characterize the Hermite-Biehler (de Branges) functions which correspond to Shroedinger operators with potential on the finite interval. From this characterization one…
Completeness of rank one perturbations of normal operators with lacunary spectrum
Anton D. Baranov, Dmitry V. Yakubovich
Suppose is a compact normal operator on a Hilbert space with certain lacunarity condition on the spectrum (which means, in particular, that its eigenvalues go to…
Geometry of reproducing kernels in model spaces near the boundary
Anton Baranov, Andreas Hartmann, Karim Kellay
We study two geometric properties of reproducing kernels in model spaces where is an inner function in the disc: overcompleteness and existence of uniformly minimalsystem…
Gap Theorem for Separated Sequences without Pain
Anton Baranov, Yurii Belov, Alexander Ulanovskii
We give a simple and straightforward proof of the Gap Theorem for separated sequences by A. Poltoratski and M. Mitkovski using the Beurling--Malliavin formula for the radius of com…
Hypercyclic Toeplitz operators
Anton Baranov, Andrei Lishanskii
We study hypercyclicity of the Toeplitz operators in the Hardy space with symbols of the form , where is a polynomial and $ϕ\in H^\infty(\ma…