57 citations · 121 across the 35 of their papers we have counts for
4 papers · 1 filter
Systems biorthogonal to exponential systems on a finite union of intervals
Anton Baranov, Yurii Belov, Alexander Kuznetsov
We study the properties of a system biorthogonal to a complete and minimal system of exponentials in , where is a finite union of intervals, and show that in the case w…
Localization of zeros in Cauchy-de Branges spaces
Evgeny Abakumov, Anton Baranov, Yurii Belov
We study the class of discrete measures in the complex plain with the following property: up to a finite number, all zeros of any Cauchy transform of the measure (with -dat…
Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators
Anton Baranov
Cauchy-de Branges spaces are Hilbert spaces of entire functions defined in terms of Cauchy transforms of discrete measures on the plane and generalizing the classical de Branges th…
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…