E-mail: Keywords: real interpolation, Hardy spaces, Paley-Wiener spaces, sampling, dynamical sampling, extreme points, spectral gap, Bellman function
Subject:
harmonic analysis, real interpolation, sampling, geometry of Banach spaces
Main publications:
Kislyakov S.V., Zlotnikov I.K., “Interpolation for intersections of Hardy-type spaces”, Israel Journal of Mathematics, 239:1 (2020), 21–38
Alexander Ulanovskii, Ilya Zlotnikov, “Reconstruction of bandlimited functions from space-time samples”, Journal of Functional Analysis, 280:9, (108962), (2021), 1–14
Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy, Ilya Zlotnikov, “Distribution of martingales with bounded square functions”, Comptes Rendus Mathematique, 357:8 (2019), 671–675
Alexander Ulanovskii, Ilya Zlotnikov, “On geometry of the unit ball of Paley-Wiener space over two symmetric intervals”, International Mathematics Research Notices, 2023:8 (2023), 6329–6363
Aleksei Kulikov, Alexander Ulanovskii, Ilya Zlotnikov, “Completeness of Certain Exponential Systems and Zeros of Lacunary Polynomials”, Advances in Mathematics, 421 (2023), 109016
