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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2022 Volume 319, Pages 202–212 (Mi tm4271)
This article is cited in 3 papers

Remarks on Sampling Discretization of Integral Norms of Functions

Egor D. Kosovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b National Research University Higher School of Economics, Pokrovskii bul. 11, Moscow, 109028 Russia
c Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991 Russia

Abstract: We complement a result due to I. V. Limonova and V. N. Temlyakov on sampling discretization of the $L^2$-norm and make some general comments concerning the problem of sampling discretization.

UDC: 517.5

Received: October 30, 2021
Revised: April 18, 2022
Accepted: April 25, 2022

DOI: 10.4213/tm4271


 English version: Proceedings of the Steklov Institute of Mathematics, 2022, 319, 189–199

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© Steklov Math. Inst. of RAS, 2025