A. Kulikov

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20182025

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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…