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Matematicheskie Zametki, 2017, Volume 101, Issue 2, Pages 199–210
DOI: https://doi.org/10.4213/mzm10901 (Mi mzm10901) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Uniqueness Theorem for Multiple Franklin Series

G. G. Gevorkyan

Yerevan State University
Full-text PDF (537 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm10901
Abstract: The paper presents the proof of the uniqueness theorem for multiple series in the Franklin system that converge in measure and whose majorant of cubic partial sums with numbers $2^\nu$ satisfies a certain necessary condition. This result is new in the one-dimensional case as well.
Keywords: multiple series, Franklin system, uniqueness.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 10-3/1-41
This work was supported by GKOMON RA under grant 10-3/1-41.
Received: 27.08.2015
Revised: 26.01.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 219–229
DOI: https://doi.org/10.1134/S0001434617010266
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. G. Gevorkyan, “Uniqueness Theorem for Multiple Franklin Series”, Mat. Zametki, 101:2 (2017), 199–210; Math. Notes, 101:2 (2017), 219–229
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
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:65
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