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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2013 Volume 19, Number 2, Pages 26–33 (Mi timm929)
This article is cited in 1 paper

Growth estimates for arbitrary sequences of multiple rectangular Fourier sums

N. Yu. Antonovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Institute of Mathematics and Computer Science, Ural Federal University

Abstract: Growth estimates are obtained on a set of full measure for arbitrary sequences of rectangular partial sums of multiple trigonometric Fourier sums.

Keywords: trigonometric Fourier series, growth order almost everywhere.

UDC: 517.518

Received: 03.02.2013


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, 284, suppl. 1, 1–8

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© Steklov Math. Inst. of RAS, 2025