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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 311, Pages 164–182
DOI: https://doi.org/10.4213/tm4117 (Mi tm4117) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems

B. S. Kashinab, I. V. Limonovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991 Russia
c Laboratory “High-Dimensional Approximation and Applications,” Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4117
Abstract: For a finite orthogonal system of uniformly bounded functions, we establish the existence of sufficiently dense subsystems with the lacunarity property and a good norm estimate for the maximal partial sum operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0031
Isaac Newton Institute for Mathematical Science
This work was supported by a grant of the Government of the Russian Federation (project no. 14.W03.31.0031). The first author is also grateful to the Isaac Newton Institute (Cambridge) for the support of this research within the program “Approximation, Sampling and Compression in Data Science.”
Received: December 27, 2019
Revised: April 7, 2020
Accepted: May 26, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 311, Pages 152–170
DOI: https://doi.org/10.1134/S0081543820060097
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. S. Kashin, I. V. Limonova, “Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems”, Analysis and mathematical physics, Collected papers. On the occasion of the 70th birthday of Professor Armen Glebovich Sergeev, Trudy Mat. Inst. Steklova, 311, Steklov Math. Inst., Moscow, 2020, 164–182; Proc. Steklov Inst. Math., 311 (2020), 152–170
Citation in format AMSBIB
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\paper Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems
\inbook Analysis and mathematical physics
\bookinfo Collected papers. On the occasion of the 70th birthday of Professor Armen Glebovich Sergeev
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 311
\pages 164--182
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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