A. Ulanovskii

collaborators

3 papers

math.FA2024

Stability of shifts, interpolation, and crystalline measures

Alexander Ulanovskii, Ilya Zlotnikov

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

math.FA2024

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.FA2024

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

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…