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An exponential estimate for the cubic partial sums of multiple Fourier series

Authors :
H. A. Mkoyan
Grigori A. Karagulyan
Source :
Izvestiya: Mathematics. 83:273-286
Publication Year :
2019
Publisher :
IOP Publishing, 2019.

Abstract

We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.<br />16 pages

Details

ISSN :
14684810 and 10645632
Volume :
83
Database :
OpenAIRE
Journal :
Izvestiya: Mathematics
Accession number :
edsair.doi.dedup.....a785580c1caacba2f780e82f56772f5f