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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 303, Pages 67–86
DOI: https://doi.org/10.1134/S0371968518040076 (Mi tm3945) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Uniqueness theorems for Franklin series

G. G. Gevorkyan

Yerevan State University, Alex Manoogian str. 1, 0025, Yerevan, Armenia
Full-text PDF (268 kB) Citations (2)
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DOI: https://doi.org/10.1134/S0371968518040076
Abstract: Simple Franklin series are investigated that converge to zero everywhere except for one point (or several points). It is also proved that the one-point set (or a finite set) is a uniqueness set for Pringsheim convergent double series.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18T-1A074
This work was supported by the State Committee of Science of the Ministry of Education and Science of the Republic of Armenia within the research project 18T-1A074.
Received: October 23, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 303, Pages 58–77
DOI: https://doi.org/10.1134/S0081543818080072
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: G. G. Gevorkyan, “Uniqueness theorems for Franklin series”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 67–86; Proc. Steklov Inst. Math., 303 (2018), 58–77
Citation in format AMSBIB
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\by G.~G.~Gevorkyan
\paper Uniqueness theorems for Franklin series
\inbook Harmonic analysis, approximation theory, and number theory
\bookinfo Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2018
\vol 303
\pages 67--86
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3945}
\crossref{https://doi.org/10.1134/S0371968518040076}
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\jour Proc. Steklov Inst. Math.
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\pages 58--77
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  • https://doi.org/10.1134/S0371968518040076
  • https://www.mathnet.ru/eng/tm/v303/p67
    • This publication is cited in the following 2 articles:
    1. G. G. Gevorkyan, L. A. Akopyan, “Uniqueness Theorems for Multiple Franklin Series Converging over Rectangles”, Math. Notes, 109:2 (2021), 208–217  mathnet  crossref  crossref  mathscinet  isi
    2. G. G. Gevorkyan, “Uniqueness theorems for one-dimensional and double Franklin series”, Izv. Math., 84:5 (2020), 829–844  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    References:65
    First page:15
     
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