Y. Belov

activity

20092024

most citedUnivalent functions in model spaces: revisited

1 citations · 1 across the 3 of their papers we have counts for

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math.FA2023

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., $g (x) = (e^{a x} + e^{- b x})^{- 1}$ , $Re a, Re b > 0$ . A criterion for half-ir…

math.FA2021

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.

math.FA2021

Gabor frames for rational functions

Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii

We study the frame properties of the Gabor systems $G (g; α, β) := {e^{2 π i β m x} g (x - α n)}_{m, n \in Z} .$ In particular, we prove that for Herglotz windows $g$ such s…