29 citations · 87 across the 29 of their papers we have counts for
5 papers · 2 filters
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 summation of non-harmonic Fourier series
Yurii Belov, Yurii Lyubarskii
Let a sequence be such that the corresponding system of exponential functions is complete and minimal in and…
The Beurling--Malliavin Multiplier Theorem and its analogs for the de Branges spaces
Yurii Belov, Victor Havin
Let be a non-negative function on . We are looking for a non-zero from a given space of entire functions satisfying $$(a) \quad|f|\leq ω\text{\quad or\quad(…
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…