1 citations · 2 across the 5 of their papers we have counts for
13 papers
On Bloch seminorm of finite Blaschke products in the unit disk
Anton D. Baranov, Ilgiz R. Kayumov, Semen R. Nasyrov
We prove that, for any finite Blaschke product in the unit disk, the corresponding Riemann surface over the --plane contains a one-sheeted disk of the radius . Mor…
Spectral synthesis for exponentials and logarithmic length
Anton Baranov, Yurii Belov, Aleksei Kulikov
We study hereditary completeness of systems of exponentials on an interval such that the corresponding generating function is small outside of a lacunary sequence of intervals…
Backward shift and nearly invariant subspaces of Fock-type spaces
Alexandru Aleman, Anton Baranov, Yurii Belov +1
We study the structure of the backward shift invariant and nearly invariant subspaces in weighted Fock-type spaces , whose weight is not necessarily radial. We…
New classes of hypercyclic Toeplitz operators
Evgeny Abakumov, Anton Baranov, Stéphane Charpentier +1
We study hypercyclicity of Toeplitz operators in the Hardy space with symbols of the form , where is a rational function and $ϕ\in H^\i…
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…
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…