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Mathematics of the USSR-Sbornik, 1992, Volume 73, Issue 2, Pages 517–534
DOI: https://doi.org/10.1070/SM1992v073n02ABEH002560 (Mi sm1347) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On some multiple functionseries and solution of the uniqueness problem for Pringsheim convergence of multiple trigonometric series

Sh. T. Tetunashvili

Tbilisi Ivane Javakhishvili State University
English version PDF (669 kB) Citations (20)
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DOI: https://doi.org/10.1070/SM1992v073n02ABEH002560
Abstract: Uniqueness theorems are proved for some multiple function series. A particular consequence of these theorems is the solution of a uniqueness problem for multiple trigonometric series. One result is the following proposition: any countable set is a set of uniqueness (for Pringsheim convergence) of $d$-fold trigonometric series $(d\geqslant 2)$.
Received: 09.07.1990
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 8, Pages 1158–1176
Bibliographic databases:
UDC: 517.5
MSC: Primary 42B05; Secondary 42C05
Language: English
Original paper language: Russian
Citation: Sh. T. Tetunashvili, “On some multiple functionseries and solution of the uniqueness problem for Pringsheim convergence of multiple trigonometric series”, Mat. Sb., 182:8 (1991), 1158–1176; Math. USSR-Sb., 73:2 (1992), 517–534
Citation in format AMSBIB
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\by Sh.~T.~Tetunashvili
\paper On some multiple functionseries and solution of the uniqueness problem for Pringsheim convergence of multiple trigonometric series
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\yr 1991
\vol 182
\issue 8
\pages 1158--1176
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\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 73
\issue 2
\pages 517--534
\crossref{https://doi.org/10.1070/SM1992v073n02ABEH002560}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KF43400014}
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  • https://www.mathnet.ru/eng/sm/v182/i8/p1158
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:487
    Russian version PDF:133
    English version PDF:30
    References:39
    First page:2
     
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