Geodesic
Convergence of certain functional series
Izvestiya. Mathematics , Tome 1 (1967) no. 1, pp. 13-23

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Using the idea of extension of the system of functions $\{f_k(x)\}$ to an orthogonal one, the author establishes some assertions relating to convergence, $(C,1)$-summability and unconditional convergence almost everywhere of series in the system $\{f_k(x)\}$. 
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     author = {E. M. Nikishin},
     title = {Convergence of certain functional series},
     journal = {Izvestiya. Mathematics },
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     number = {1},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a1/}
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E. M. Nikishin. Convergence of certain functional series. Izvestiya. Mathematics , Tome 1 (1967) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a1/