29 citations · 87 across the 29 of their papers we have counts for
37 papers
Exponential approximation and meromorphic interpolation
Yurii Belov, Alexander Borichev, Alexander Kuznetsov
We establish a relation between the approximation in by exponentials with the set of frequencies of Beurling--Malliavin density less than and the meromorphic interp…
Irregular sampling for hyperbolic secant type functions
Anton Baranov, Yurii Belov
We study Gabor frames in the case when the window function is of hyperbolic secant type, i.e., , . A criterion for half-ir…
Frame set for shifted sinc-function
Yurii Belov, Andrei V. Semenov
We prove that frame set for imaginary shift of sinc-function can be described as $\mathcal{…
Exponential Riesz bases in on two interval
Yurii Belov, Mikhail Mironov
We give sufficient conditions for the exponential system to be a Riesz basis in , where is a union of two intervals. We show that these conditions are close to be neces…
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…
On the chain structure in the de Branges spaces
Yurii Belov, Alexander Borichev
We study the indivisible intervals and the monotonicity of the growth of the exponential type in the chains of de Branges subspaces in terms of the spectral measure. We prove that…
Complete interpolating sequences for the Gaussian shift-invariant space
Anton Baranov, Yurii Belov, Karlheinz Gröchenig
We give a full description of complete interpolating sequences for the shift-invariant space generated by the Gaussian. As a consequence, we rederive the known density conditions f…
Irregular Gabor frames of Cauchy kernels
Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii
We study the frame property of the Gabor system corresponding to an irregular lattice with a single Cauchy kernel as the generating window.
Gabor frames for rational functions
Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii
We study the frame properties of the Gabor systems In particular, we prove that for Herglotz windows such s…
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…
Upper and lower densities of Gabor Gaussian Systems
Yurii Belov, Alexander Borichev, Alexander Kuznetsov
We study the upper and the lower densities of complete and minimal Gabor Gaussians systems. In contrast to the classical lattice case when they are both equal to , we prove that…
Nevanlinna domains with large boundaries
Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy
We establish the existence of Nevanlinna domains with large boundaries. In particular, these domains can have boundaries of positive planar measure. The sets of accessible points c…
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…
The Newman--Shapiro problem
Yurii Belov, Alexander Borichev
We give a negative answer to the Newman--Shapiro problem on weighted approximation for entire functions formulated in 1966 and motivated by the theory of operators on the Fock spac…
Univalent functions in model spaces: revisited
Anton Baranov, Yurii Belov, Alexander Borichev +1
Motivated by a problem in approximation theory, we find a necessary and sufficient condition for a model (backward shift invariant) subspace $K_\varTheta = H^2\ominus \varTheta H^2…
Summability properties of Gabor expansions
Anton Baranov, Yurii Belov, Alexander Borichev
We show that there exist complete and minimal systems of time-frequency shifts of Gaussians in which are not strong Markushevich basis (do not admit the spectral…
The Young type theorem in weighted Fock spaces
Anton Baranov, Yurii Belov, Alexander Borichev
We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assu…
Synthesable differentiation-invariant subspaces
Anton Baranov, Yurii Belov
We describe differentiation-invariant subspaces of which admit spectral synthesis. This gives a complete answer to a question posed by A.~Aleman and B.~Korenblum. I…
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…
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…
Uniqueness of Gabor series
Yurii Belov
We prove that any complete and minimal Gabor system of Gaussians is a Markushevich basis in .