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Sbornik: Mathematics, 2018, Volume 209, Issue 6, Pages 802–822
DOI: https://doi.org/10.1070/SM8922 (Mi sm8922) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Uniqueness theorems for Franklin series converging to integrable functions

G. G. Gevorkyan

Yerevan State University, Armenia
English version PDF (575 kB) Citations (13)
References:
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DOI: https://doi.org/10.1070/SM8922
Abstract: The following results are proved: a) if a Franklin series converges everywhere to a finite integrable function, then it is the Fourier-Franklin series of this function; b) if a Franklin series converges to a finite integrable function everywhere except possibly at points in some countable set and if all its coefficients satisfy a certain necessary condition, then it is the Fourier-Franklin series of this function.
Bibliography: 16 titles.
Keywords: Franklin system, de la Vallée Poussin theorem, uniqueness theorem.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15T-1A006
Supported by the State Committee on Science of the Ministry of Education and Science of the Republic of Armenia (project no. 15T-1A006).
Received: 06.02.2017 and 28.06.2017
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 6, Pages 25–46
DOI: https://doi.org/10.4213/sm8922
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 42B05
Language: English
Original paper language: Russian
Citation: G. G. Gevorkyan, “Uniqueness theorems for Franklin series converging to integrable functions”, Mat. Sb., 209:6 (2018), 25–46; Sb. Math., 209:6 (2018), 802–822
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:27
    References:45
    First page:20
     
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