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Sbornik: Mathematics, 2016, Volume 207, Issue 12, Pages 1650–1673
DOI: https://doi.org/10.1070/SM8640 (Mi sm8640) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the uniqueness of series in the Franklin system

G. G. Gevorkyan

Yerevan State University, Armenia
English version PDF (585 kB) Citations (14)
References:
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DOI: https://doi.org/10.1070/SM8640
Abstract: We prove: a) a uniqueness theorem for everywhere convergent series in the Franklin system; b) a uniqueness theorem for Franklin series that converge in measure, whose least upper bound of the sequence of modules of partial sums is finite everywhere, except possibly on a countable set, and whose coefficients satisfy a certain necessary condition.
Bibliography: 16 titles.
Keywords: Franklin system, Cantor's theorem, uniqueness theorem.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15 Т-1А006
This research was carried out with the financial support of the State Committee on Science of the Ministry of Education and Science of the Republic of Armenia in the framework of research project no. 15 T-1A006.
Received: 01.12.2015 and 29.03.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 12, Pages 30–53
DOI: https://doi.org/10.4213/sm8640
Bibliographic databases:
UDC: 517.53
MSC: Primary 42C25; Secondary 42C10
Language: English
Original paper language: Russian
Citation: G. G. Gevorkyan, “On the uniqueness of series in the Franklin system”, Mat. Sb., 207:12 (2016), 30–53; Sb. Math., 207:12 (2016), 1650–1673
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:561
    Russian version PDF:85
    English version PDF:19
    References:59
    First page:39
     
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