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Sbornik: Mathematics, 1996, Volume 187, Issue 1, Pages 119–139
DOI: https://doi.org/10.1070/SM1996v187n01ABEH000104
(Mi sm104)
 

This article is cited in 1 scientific paper (total in 1 paper)

Hermitian widths, mean dimension, and multiple packings

N. A. Strelkov

P. G. Demidov Yaroslavl State University
References:
Abstract: This article is a study of the behaviour of widths describing the approximation properties of subspaces generated by the translates of $N$ fixed functions with respect to some lattice. A connection is established between the approximation characteristics and the geometric properties of $N$-fold packing of Lebesgue sets of a function depending on the metrics of the spaces in which the approximation is carried out. The concept of the mean dimension is introduced, and it is proved that the widths under study converge to the Kolmogorov widths of the same mean dimension.
Received: 27.07.1994
Bibliographic databases:
UDC: 517.518.224+514.174
MSC: Primary 41A46, 52C17; Secondary 52C15, 46E35, 52C07, 05B40, 41A65, 11H31
Language: English
Original paper language: Russian
Citation: N. A. Strelkov, “Hermitian widths, mean dimension, and multiple packings”, Sb. Math., 187:1 (1996), 119–139
Citation in format AMSBIB
\Bibitem{Str96}
\by N.~A.~Strelkov
\paper Hermitian widths, mean dimension, and multiple packings
\jour Sb. Math.
\yr 1996
\vol 187
\issue 1
\pages 119--139
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\crossref{https://doi.org/10.1070/SM1996v187n01ABEH000104}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030529241}
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  • https://doi.org/10.1070/SM1996v187n01ABEH000104
  • https://www.mathnet.ru/eng/sm/v187/i1/p121
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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