A. Ulanovskii

activity

20032024

most citedReconstruction of Bandlimited Functions from Space-Time Samples

11 citations · 46 across the 16 of their papers we have counts for

collaborators

19 papers

math.FA2024★ 1 cited

Stability of shifts, interpolation, and crystalline measures

Alexander Ulanovskii, Ilya Zlotnikov

Let $V_{Γ}^{p} (G), 1 \leq p \leq \infty,$ be the quasi shift-invariant space generated by $Γ$ -shifts of a function $G$ , where $Γ \subset R$ is a separated set. F…

math.FA2024★ 5 cited

Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials

Alexander Ulanovskii, Ilya Zlotnikov

We introduce two families of generators (functions) $G$ that consist of entire and meromorphic functions enjoying a certain periodicity property and contain the classical…

math.FA2023★ 6 cited

Sampling in the shift-invariant space generated by the bivariate Gaussian function

José Luis Romero, Alexander Ulanovskii, Ilya Zlotnikov

We study the space spanned by the integer shifts of a bivariate Gaussian function and the problem of reconstructing any function in that space from samples scattered across the pla…

math.CA2022

Completeness of Certain Exponential Systems and Zeros of Lacunary Polynomials

Aleksei Kulikov, Alexander Ulanovskii, Ilya Zlotnikov

Let $Γ$ be a subset of ${0, 1, 2, ...}$ . We show that if $Γ$ has `gaps' then the completeness and frame properties of the system ${t^{k} e^{2 π in t} : n \in Z, k \in Γ}$ differ fro…

math.FA2021★ 1 cited

On geometry of the unit ball of Paley-Wiener space over two symmetric intervals

Alexander Ulanovskii, Ilya Zlotnikov

Let $P W_{S}^{1}$ be the space of integrable functions on $R$ whose Fourier transform vanishes outside $S$ , where $S = [- σ, - ρ] \cup [ρ, σ]$ , $0 < ρ < σ$ . In the case $ρ > σ /2$ , we prese…

math.CA2020

Fourier quasicrystals with unit masses

Alexander Olevskii, Alexander Ulanovskii

Every set $Λ \subset R$ such that the sum of $δ$ -measures sitting at the points of $Λ$ is a Fourier quasicrystal, is the zero set of an exponential polynomial with imaginary frequen…