11 citations · 46 across the 16 of their papers we have counts for
4 papers · 1 filter
Fourier quasicrystals with unit masses
Alexander Olevskii, Alexander Ulanovskii
Every set such that the sum of -measures sitting at the points of is a Fourier quasicrystal, is the zero set of an exponential polynomial with imaginary frequen…
Reconstruction of Bandlimited Functions from Space-Time Samples
Alexander Ulanovskii, Ilya Zlotnikov
For a wide family of even kernels , we describe discrete sets such that every bandlimited signal can be reconstructed from the space-time samples $\{(f\ast…
A Simple Crystalline Measure
Alexander Olevskii, Alexander Ulanovskii
We prove that every pair of exponential polynomials with imaginary frequencies generates a Poisson-type formula.
On 2-dimensional mobile sampling
Alexander Rashkovskii, Alexander Ulanovskii, Ilya Zlotnikov
Necessary and sufficient conditions are presented for several families of planar curves to form a set of stable sampling for the Bernstein space over a convex set $…