Geodesic
On integrability and $L_1$-convergence of double series with respect to multiplicative systems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 43-49.

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We consider double series, whose coefficients are the null sequences of bounded variation, with respect to multiplicative systems. We define a necessary and sufficient condition for regular convergence in $L(Q)$-metric of modified sums and integrability of the sum of series considered. 
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     author = {N. A. Bokaev and N. K. Syzdykova},
     title = {On integrability and $L_1$-convergence of double series with respect to multiplicative systems},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {43--49},
     publisher = {mathdoc},
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     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a3/}
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N. A. Bokaev; N. K. Syzdykova. On integrability and $L_1$-convergence of double series with respect to multiplicative systems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 43-49. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a3/