Geodesic
Properties of sine series in weighted spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2022), pp. 3-17 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sums of double sine series with coefficients multiply monotone by subsequences are studied. Conditions under which these sums belong to weighted spaces are obtained. 
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T. M. Vukolova; B. V. Simonov. Properties of sine series in weighted spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2022), pp. 3-17. http://geodesic.mathdoc.fr/item/VMUMM_2022_2_a0/

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[4] Simonov B.V., “O ryadakh po sinusam i kosinusam v klassakh $L_\varphi$”, Izv. vuzov. Matematika, 2013, no. 10, 24–42 | Zbl