Yurii Lyubarskii

activity

19952022

most citedUncertainty Principles and Vector Quantization

80 citations · 121 across the 15 of their papers we have counts for

collaborators

19 papers

math.CV2022

Gabor frame operator for the Cauchy kernel

Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii

We obtain frame bounds estimates and the Gabor frame operator $S = S^{α, β}$ for Gabor frames generated by the Cauchy kernel. In addition we find the explicit expression for the canon…

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…

math.CV2019

Sampling of Entire Functions of Several Complex Variables on a Lattice and Multivariate Gabor Frames

Karlheinz Gröchenig, Yurii Lyubarskii

We give a general construction of entire functions in $d$ complex variables that vanish on a lattice of the form $L = A (Z + i Z)^{d}$ for an invertible complex-valued matrix. As an…

math.CA2017

On Gabor orthonormal bases over finite prime fields

A. Iosevich, M. Kolountzakis, Yu. Lyubarskii +2

We study Gabor orthonormal windows in $L^{2} (Z_{p}^{d})$ for translation and modulation sets $A$ and $B$ , respectively, where $p$ is prime and $d \geq 2$ . We prove that for a set $…

math.CA2017

Sharp Uniqueness Results for Discrete Evolutions

Yurii Lyubarskii, Eugenia Malinnikova

We prove sharp uniqueness results for a wide class of one-dimensional discrete evolutions. The proof is based on a construction from the theory of complex Jacobi matrices combined…