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This article is cited in 8 scientific papers (total in 8 papers)
On the problem of reconstructing the coefficients of convergent multiple function series
L. D. Gogoladze
Tbilisi Ivane Javakhishvili State University
Abstract:
We prove a theorem on the reconstruction of the coefficients of
rectangularly convergent multiple function series.
DOI:
https://doi.org/10.4213/im2660
 Full text:
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English version:
Izvestiya: Mathematics, 2008, 72:2, 283–290
Bibliographic databases:
    
UDC:
517.521
MSC: 42B08, 42A20
Received: 14.06.2007
Citation:
L. D. Gogoladze, “On the problem of reconstructing the coefficients of convergent multiple function series”, Izv. RAN. Ser. Mat., 72:2 (2008), 83–90; Izv. Math., 72:2 (2008), 283–290
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http://mi.mathnet.ru/eng/izv2660https://doi.org/10.4213/im2660 http://mi.mathnet.ru/eng/izv/v72/i2/p83
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This publication is cited in the following articles:
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M. G. Plotnikov, “Quasi-measures on the group $G^m$, Dirichlet sets, and uniqueness problems for multiple Walsh series”, Sb. Math., 201:12 (2010), 1837–1862
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M. G. Plotnikov, “Coefficients of convergent multiple Walsh-Paley series”, Sb. Math., 203:9 (2012), 1295–1309
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N. N. Kholshchevnikova, “Countably multiple null series”, Proc. Steklov Inst. Math., 280 (2013), 280–291
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M. G. Plotnikov, “$\lambda$-Convergence of Multiple Walsh–Paley Series and Sets of Uniqueness”, Math. Notes, 102:2 (2017), 268–276
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G. G. Gevorkyan, “Uniqueness theorems for Franklin series”, Proc. Steklov Inst. Math., 303 (2018), 58–77
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Plotnikov M., “V-Sets in the Products of Zero-Dimensional Compact Abelian Groups”, Eur. J. Math., 5:1, SI (2019), 223–240
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Kholshchevnikova N., “the Union Problem and the Category Problem of Sets of Uniqueness in the Theory of Orthogonal Series”, Real Anal. Exch., 44:1 (2019), 65–76
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G. G. Gevorkyan, “Uniqueness theorems for one-dimensional and double Franklin series”, Izv. Math., 84:5 (2020), 829–844
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