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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 3, Pages 627–654
DOI: https://doi.org/10.1070/IM1989v032n03ABEH000803 (Mi im1197) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On some uniqueness properties of multiple trigonometric series and harmonic functions

A. A. Talalyan
English version PDF (1291 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM1989v032n03ABEH000803
Abstract: Some uniqueness theorems for multiple trigonometric series $\sum_na_ne^{2\pi inx}$ are established, where the an are bounded and tend to zero, when all the coordinates of the vector $n$ tend to infinity.
Some boundary uniqueness properties for $m$-harmonic functions are also established.
Bibliography: 8 titles.
Received: 01.09.1986
Bibliographic databases:
UDC: 517.51
MSC: Primary 42B05, 42B99; Secondary 31B05
Language: English
Original paper language: Russian
Citation: A. A. Talalyan, “On some uniqueness properties of multiple trigonometric series and harmonic functions”, Math. USSR-Izv., 32:3 (1989), 627–654
Citation in format AMSBIB
\Bibitem{Tal88}
\by A.~A.~Talalyan
\paper On~some uniqueness properties of multiple trigonometric series and harmonic functions
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 3
\pages 627--654
\mathnet{http://mi.mathnet.ru//eng/im1197}
\crossref{https://doi.org/10.1070/IM1989v032n03ABEH000803}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=954300}
\zmath{https://zbmath.org/?q=an:0824.42006}
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  • https://www.mathnet.ru/eng/im/v52/i3/p621
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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