Geodesic
Series formed by the moduli of blocks of terms of trigonometric series. A~survey
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 5, pp. 209-216.

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This paper presents a survey of results on properties of series composed of the moduli of blocks of trigonometric series. The following questions are addressed: convergence, uniform convergence, and membership of the sum of series to $L_p$ and to weighted $L_p$ spaces. First results in this area pertaining to similar series for the Walsh system are put forward. 
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S. A. Telyakovskii. Series formed by the moduli of blocks of terms of trigonometric series. A~survey. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 5, pp. 209-216. http://geodesic.mathdoc.fr/item/FPM_2013_18_5_a11/

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