Growth estimates for arbitrary sequences of multiple rectangular Fourier sums
type: Item
instance of: scholarly article
title: Growth estimates for arbitrary sequences of multiple rectangular Fourier sums
zbMATH Open document ID: 1306.42009
DOI: 10.1134/S0081543814020011
author: N. Yu. Antonov
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2014-12-17T00:00:00Z
review text: In this paper, the author obtains a \(d\)-dimensional (for \(d>2\)) analogue of his earlier result for \(d=2\) [\textit{N. Yu. Antonov}, ``On the growth order of sequences of double rectangular Fourier sums for functions from the classes \(\varphi(L)\)'', Trudy Inst. Mat. Mekh. UrO RAN 18 (4), 26--34 (2012)].
reviewed by: W. Łenski
Mathematics Subject Classification ID: 42B05
zbMATH DE Number: 6381059
zbMATH Keywords: trigonometric Fourier series
zbMATH Keywords: multiple rectangular Fourier sums
zbMATH Keywords: order of growth
MaRDI profile type: Publication
cites work: Subsequences of Fourier sums of integrable functions
cites work: Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series
cites work: On limits of sequences of operators
full work available at URL: s0081543814020011
OpenAlex ID: W2084957345
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description: scientific article; zbMATH DE number 6381059