57 citations · 121 across the 35 of their papers we have counts for
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Localization of zeros for Cauchy transforms
Evgeny Abakumov, Anton Baranov, Yurii Belov
We study the localization of zeros of Cauchy transforms of discrete measures on the real line. This question is motivated by the theory of canonical systems of differential equatio…
On -estimates of derivatives of univalent rational functions
Anton D. Baranov, Konstantin Yu. Fedorovskiy
We study the growth of the quantity for rational functions of degree , which are bounded and univalent in the unit disk, and prove that thi…
Subspaces of invariant under the differentiation
Alexandru Aleman, Anton Baranov, Yurii Belov
Let be a proper differentiation invariant subspace of such that the restriction operator $\frac{d}{dx}\bigl{|}_L$ has a discrete spectrum (counting with mul…
Spectral synthesis in de Branges spaces
Anton Baranov, Yurii Belov, Alexander Borichev
We solve completely the spectral synthesis problem for reproducing kernels in the de Branges spaces . Namely, we describe the de Branges spaces suc…
One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum
Anton D. Baranov, Dmitry V. Yakubovich
We study spectral properties of one-dimensional singular perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a…