TY - JOUR
T1 - On the almost everywhere convergence of multiple Fourier series of square summable functions
AU - Goginava, Ushangi
AU - Oniani, Giorgi
N1 - Publisher Copyright:
© 2020 Byzantin Symmeikta. All rights reserved.
PY - 2020
Y1 - 2020
N2 - We prove that if the lacunary partial sums of the Fourier series of every square summable function concerning each one-dimensional orthonormal system φ1,...,φdconverge almost everywhere, then the product system φ1× · · ·×φdalso has a similar property for a quite general type of partial sums.
AB - We prove that if the lacunary partial sums of the Fourier series of every square summable function concerning each one-dimensional orthonormal system φ1,...,φdconverge almost everywhere, then the product system φ1× · · ·×φdalso has a similar property for a quite general type of partial sums.
KW - Almost everywhere convergence
KW - Lacunary partial sums
KW - Multiple Fourier series
KW - Square summable function
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U2 - 10.5486/PMD.2020.8680
DO - 10.5486/PMD.2020.8680
M3 - Article
AN - SCOPUS:85096903582
SN - 0033-3883
VL - 97
SP - 313
EP - 320
JO - Publicationes Mathematicae Debrecen
JF - Publicationes Mathematicae Debrecen
IS - 4
ER -