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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 303, Pages 39–44
DOI: https://doi.org/10.1134/S0371968518040040 (Mi tm3940) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Density of sums of shifts of a single vector in sequence spaces

P. A. Borodin

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (164 kB) Citations (3)
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DOI: https://doi.org/10.1134/S0371968518040040
Abstract: We prove that in the real space $l_2(\mathbb Z)$ of two-sided sequences there is an element such that the sums of its shifts are dense in all real spaces $l_p(\mathbb Z)$, $2\le p<\infty $, as well as in the real space $c_0(\mathbb Z)$.
Keywords: shift, two-sided sequences, approximation, Fourier coefficients.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00333_а
Ministry of Education and Science of the Russian Federation НШ 6222.2018.1
The work was supported by the Russian Foundation for Basic Research (project no. 18-01-00333‑a) and by a grant of the President of the Russian Federation (project no. NSh-6222.2018.1).
Received: February 19, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 303, Pages 31–35
DOI: https://doi.org/10.1134/S0081543818080047
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
MSC: 41A65, 46B20, 46B25
Language: Russian
Citation: P. A. Borodin, “Density of sums of shifts of a single vector in sequence spaces”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 39–44; Proc. Steklov Inst. Math., 303 (2018), 31–35
Citation in format AMSBIB
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\paper Density of sums of shifts of a single vector in sequence spaces
\inbook Harmonic analysis, approximation theory, and number theory
\bookinfo Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday
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\vol 303
\pages 39--44
\publ MAIK Nauka/Interperiodica
\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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