Persons: Zlotnikov, Ilya Konstantinovich

Persons

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Zlotnikov, Ilya Konstantinovich

Candidate of physico-mathematical sciences

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

	Publications in Math-Net.Ru	Citations
	2019
1.	I. K. Zlotnikov, S. V. Kislyakov, “Grothendieck theorem for some uniform algebras and modules over them”, Zap. Nauchn. Sem. POMI, 480 (2019), 108–121	1
	2017
2.	I. K. Zlotnikov, “The problem of ideals in the algebra $H^\infty$ for certain spaces of sequences”, Algebra i Analiz, 29:5 (2017), 51–67 ; St. Petersburg Math. J., 29:5 (2018), 749–759	2
	2016
3.	I. K. Zlotnikov, “Estimates in the problem of ideals in the algebra $H^\infty$”, Zap. Nauchn. Sem. POMI, 447 (2016), 66–74 ; J. Math. Sci. (N. Y.), 229:5 (2018), 528–533	2

Presentations in Math-Net.Ru

1.	Сэмплинг в пространствах, инвариантных относительно сдвига, порождённых двумерным гауссианом I. K. Zlotnikov Seminar on Operator Theory and Function Theory December 18, 2023 17:30
2.	О полноте некоторых экспоненциальных семейств I. K. Zlotnikov Seminar on Operator Theory and Function Theory October 31, 2022 17:30
3.	Пространственно-временной сэмлинг для функций с ограниченным спектром I. K. Zlotnikov Seminar on Operator Theory and Function Theory March 1, 2021 17:30
4.	The ideals of the algebra $H^{\infty}$: interpolation and Bézout equation I. K. Zlotnikov Seminar on Complex Analysis (Gonchar Seminar) September 9, 2019 17:00
5.	Вновь о метрическом аспекте задачи об идеалах в алгебре $ H^{\infty}$ I. K. Zlotnikov Seminar on Operator Theory and Function Theory May 15, 2017 18:00
6.	О метрическом аспекте задачи об идеалах алгебры $H^\infty$ I. K. Zlotnikov Seminar on Operator Theory and Function Theory November 28, 2016 17:30

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