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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 5, Pages 3–15 (Mi fpm1539)  

Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions

N. Yu. Antonov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
References:
Abstract: Estimates on the growth order of sequences of rectangular partial sums of multiple Fourier series of functions integrable on the $d$-dimensional torus $[-\pi,\pi]^d$ are obtained.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 1, Pages 1–11
DOI: https://doi.org/10.1007/s10958-015-2481-7
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. Yu. Antonov, “Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions”, Fundam. Prikl. Mat., 18:5 (2013), 3–15; J. Math. Sci., 209:1 (2015), 1–11
Citation in format AMSBIB
\Bibitem{Ant13}
\by N.~Yu.~Antonov
\paper Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 5
\pages 3--15
\mathnet{http://mi.mathnet.ru/fpm1539}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431842}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 209
\issue 1
\pages 1--11
\crossref{https://doi.org/10.1007/s10958-015-2481-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84938291198}
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    Фундаментальная и прикладная математика
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