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Algebra i Analiz, 2014, Volume 26, Issue 6, Pages 99–120 (Mi aa1409)  
This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems

S. S. Platonov

Petrozavodsk State University, Petrozavodsk, Russia
Full-text PDF (255 kB) Citations (7)
References:
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Received: 21.01.2014
English version:
St. Petersburg Mathematical Journal, 2015, Volume 26, Issue 6, Pages 933–947
DOI: https://doi.org/10.1090/spmj/1368
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. S. Platonov, “Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems”, Algebra i Analiz, 26:6 (2014), 99–120; St. Petersburg Math. J., 26:6 (2015), 933–947
Citation in format AMSBIB
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\paper Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems
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\yr 2014
\vol 26
\issue 6
\pages 99--120
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\transl
\jour St. Petersburg Math. J.
\yr 2015
\vol 26
\issue 6
\pages 933--947
\crossref{https://doi.org/10.1090/spmj/1368}
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Linking options:
  • https://www.mathnet.ru/eng/aa1409
  • https://www.mathnet.ru/eng/aa/v26/i6/p99
    • This publication is cited in the following 7 articles:
    1. S. D. Glyzin, A. Yu. Kolesov, “Cone criterion on an infinite-dimensional torus”, Izv. Math., 88:6 (2024), 1087–1118  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. S. D. Glyzin, A. Yu. Kolesov, “Dinamicheskie sistemy na beskonechnomernom tore: osnovy giperbolicheskoi teorii”, Tr. MMO, 84, no. 1, MTsNMO, M., 2023, 55–116  mathnet
    3. S. D. Glyzin, A. Yu. Kolesov, “On Some Properties of the Shift on an Infinite-Dimensional Torus”, Diff Equat, 59:7 (2023), 867  crossref
    4. S. D. Glyzin, A. Yu. Kolesov, “Elements of hyperbolic theory on an infinite-dimensional torus”, Russian Math. Surveys, 77:3 (2022), 379–443  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. Fernandez E., Roncal L., “A Decomposition of Calderon-Zygmund Type and Some Observations on Differentiation of Integrals on the Infinite-Dimensional Torus”, Potential Anal., 53:4 (2020), 1449–1465  crossref  mathscinet  isi  scopus
    6. S. S. Platonov, “Certain approximation problems for functions on the infinite-dimensional torus: Lipschitz spaces”, Izv. Math., 82:1 (2018), 186–211  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. D. V. Fufaev, “Summation of Fourier Series on the Infinite-Dimensional Torus”, Math. Notes, 103:6 (2018), 990–996  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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