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Sbornik: Mathematics, 2010, Volume 201, Issue 7, Pages 985–997
DOI: https://doi.org/10.1070/SM2010v201n07ABEH004099 (Mi sm7596) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Convergence of simple partial fractions in $L_p(\mathbb R)$

V. I. Danchenko

Vladimir State University
English version PDF (327 kB) Citations (15)
References:
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DOI: https://doi.org/10.1070/SM2010v201n07ABEH004099
Abstract: The convergence in the $L_p(\mathbb R)$-metric of series whose partial sums are simple partial fractions is investigated. Several convergence conditions in terms of sequences of poles of these series are obtained.
Bibliography: 12 titles.
Keywords: simple partial fractions, duality, sparse sequences.
Received: 24.06.2009 and 05.04.2010
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 7, Pages 53–66
DOI: https://doi.org/10.4213/sm7596
Bibliographic databases:
Document Type: Article
UDC: 517.538.52
MSC: Primary 41A25; Secondary 30B50
Language: English
Original paper language: Russian
Citation: V. I. Danchenko, “Convergence of simple partial fractions in $L_p(\mathbb R)$”, Mat. Sb., 201:7 (2010), 53–66; Sb. Math., 201:7 (2010), 985–997
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v201/i7/p53
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:694
    Russian version PDF:231
    English version PDF:5
    References:85
    First page:45
     
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