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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 5, Pages 3–15
(Mi fpm1539)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/fpm1539 https://www.mathnet.ru/eng/fpm/v18/i5/p3
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Abstract page: | 275 | Full-text PDF : | 132 | References: | 32 |
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