6 papers
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…
Fourier interpolation and time-frequency localization
Aleksei Kulikov
We prove that under very mild conditions for any interpolation formula we have a lower bound for the counting fun…
A contractive Hardy-Littlewood inequality
Aleksei Kulikov
We prove a contractive Hardy-Littlewood type inequality for functions from , which is sharp in the first two Taylor coefficients and asymptotically a…
On the Heins Theorem
Aleksei Kulikov
It is known that the famous Heins Theorem (also known as the de Branges Lemma) about the minimum of two entire functions of minimal type does not extend to functions of finite expo…