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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 9, Pages 12–21 (Mi ivm9031)  
This article is cited in 1 scientific paper (total in 1 paper)

On absolute convergence of multiple Fourier series

L. D. Gogoladze, V. Sh. Tsagareishvili

Department of Mathematics, Tbilisi State University, 1 I. Chavchavadze Ave., Tbilisi, 0128 Republic of Georgia
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Abstract: We consider absolute convergence of multiple series of Fourier–Haar coefficients for functions of many variables with partial derivatives of higher order. It is shown that the obtained results are best possible for general orthonormal systems.
Keywords: Fourier coefficients, Haar system, partial derivatives, general orthonormal systems.
Received: 29.01.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 9, Pages 9–17
DOI: https://doi.org/10.3103/S1066369X15090029
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
Citation: L. D. Gogoladze, V. Sh. Tsagareishvili, “On absolute convergence of multiple Fourier series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 9, 12–21; Russian Math. (Iz. VUZ), 59:9 (2015), 9–17
Citation in format AMSBIB
\Bibitem{GogTsa15}
\by L.~D.~Gogoladze, V.~Sh.~Tsagareishvili
\paper On absolute convergence of multiple Fourier series
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 9
\pages 12--21
\mathnet{http://mi.mathnet.ru/ivm9031}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 9
\pages 9--17
\crossref{https://doi.org/10.3103/S1066369X15090029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84943265492}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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