Geodesic
On convergence of generalized systems similar to orthogonal ones
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 813-829 Cet article a éte moissonné depuis la source Math-Net.Ru

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For generalized expansion systems similar to orthogonal ones the analogs of the following properties of orthogonal systems are proved: Paley–Zygmund theorem on almost everywhere convergence under almost all orders of signs, Garsia theorem on existence of almost everywhere convergent rearrangement of series terms, Orlicz and Tandori theorems on unconditional convergence. 
@article{FPM_2000_6_3_a12,
     author = {T. P. Lukashenko and T. V. Rodionov},
     title = {On convergence of generalized systems similar to orthogonal ones},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {813--829},
     year = {2000},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a12/}
}
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T. P. Lukashenko; T. V. Rodionov. On convergence of generalized systems similar to orthogonal ones. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 813-829. http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a12/