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Analysis Mathematica, 2018, Volume 44, Issue 2, Pages 163–183
DOI: https://doi.org/10.1007/s10476-018-0204-2
(Mi analm6)
 

This article is cited in 13 scientific papers (total in 13 papers)

Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line

P. A. Borodina, S. V. Konyaginb

a Laboratory “Multivariate approximation and applications”, Department of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkin Street, Moscow 119991, Russia
Citations (13)
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0031
The research of both authors was supported by the grant of the Government of the Russian Federation (project 14.W03.31.0031).
Received: 17.01.2018
Revised: 12.05.2018
Accepted: 12.05.2018
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/analm6
  • This publication is cited in the following 13 articles:
    1. Yu. A. Skvortsov, “Density of sums of shifts of a function under a compact group action”, Mat. Zametki, 117:3 (2025), 479–482  mathnet  mathnet  crossref
    2. N. A. Dyuzhina, “Density of sums of shifts of a single function in L20 space on a compact abelian group”, Mat. Sb., 215:6 (2024), 29–40  mathnet  mathnet  crossref
    3. N. A. Dyuzhina, “Density of the sums of shifts of a single function in the L20 space on a compact Abelian group”, Sb. Math., 215:6 (2024), 743–754  mathnet  mathnet  crossref  crossref
    4. N. A. Dyuzhina, “Multidimensional Analogs of Theorems about the Density of Sums of Shifts of a Single Function”, Math. Notes, 113:5 (2023), 731–735  mathnet  mathnet  crossref  crossref  scopus
    5. K. Shklyaev, “Approximation by sums of shifts and dilations of a single function and neural networks”, Journal of Approximation Theory, 291 (2023), 105915  crossref
    6. P. A. Borodin, K. S. Shklyaev, “Density of quantized approximations”, Russian Math. Surveys, 78:5 (2023), 797–851  mathnet  mathnet  crossref  crossref  isi
    7. N. A. Dyuzhina, “Density of Derivatives of Simple Partial Fractions in Hardy Spaces in the Half-Plane”, Math. Notes, 109:1 (2021), 46–53  mathnet  mathnet  crossref  crossref  isi  scopus
    8. V. I. Filippov, “Series with Integer Coefficients by Systems of Contractions and Shifts of One Function”, Lobachevskii J Math, 41:11 (2020), 2143  crossref
    9. V. I. Filippov, “Integer expansion in systems of translates and dilates of a single function”, Izv. Math., 84:4 (2020), 796–806  mathnet  mathnet  crossref  crossref  isi  scopus
    10. N. A. Dyuzhina, “Density of Sums of Shifts of a Single Function in Hardy Spaces on the Half-Plane”, Math. Notes, 106:5 (2019), 711–719  mathnet  mathnet  crossref  crossref  isi  scopus
    11. V. I. Filippov, “Series of Fourier type with integer coefficients by systems of dilates and translates of one function in Lp, p1”, Russian Math. (Iz. VUZ), 63:6 (2019), 51–57  mathnet  mathnet  crossref  crossref  isi  scopus
    12. B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, K. S. Ryutin, I. D. Shkredov, “Sergei Vladimirovich Konyagin turns 60”, Proc. Steklov Inst. Math., 303 (2018), 1–9  mathnet  mathnet  crossref  crossref  isi  scopus
    13. P. A. Borodin, “Density of sums of shifts of a single vector in sequence spaces”, Proc. Steklov Inst. Math., 303 (2018), 31–35  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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