Geodesic
Absolute convergence of single and double Fourier series on multiplicative systems
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 7-14

Voir la notice de l'article provenant de la source Math-Net.Ru

Two-dimensional analogs of famous Zygmund and Szasz tests for absolute convergence of Fourier–Vilenkin series are established. Also it is proved that two-dimensional Szasz test is the best possible in the certain sense. 
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     author = {S. S. Volosivets},
     title = {Absolute convergence of single and double {Fourier} series on multiplicative systems},
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S. S. Volosivets. Absolute convergence of single and double Fourier series on multiplicative systems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 7-14. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a1/