Geodesic
Necessary conditions for sets of uniqueness of Walsh series with
Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 461-470 Cet article a éte moissonné depuis la source Math-Net.Ru

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Necessary conditions on a set of uniqueness for a Walsh series in a subsystem $\{\omega_{n_k}(t)\}$ are exhibited, depending on the rate of growth of the sequence $\{n_k\}$, and it is proved that they are definitive. Bibliography: 4 titles. 
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     title = {Necessary conditions for sets of uniqueness of {Walsh} series with},
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S. F. Lukomskii. Necessary conditions for sets of uniqueness of Walsh series with. Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 461-470. http://geodesic.mathdoc.fr/item/SM_1988_61_2_a11/

[1] Shneider A. A., “O edinstvennosti razlozhenii po sisteme funktsii Uolsha”, Matem. sb., 24(66) (1949), 279–300 | Zbl

[2] Stechkin S. B., Ulyanov P. L., “O teoreme edinstvennosti dlya ryadov po sisteme Rademakhera”, Izv. AN SSSR. Ser. matem., 26 (1962), 211–222 | Zbl

[3] Lukomskii S. F., “O skhodimosti ryadov Rademakhera na mnozhestvakh nulevoi mery”, Differents. uravneniya i teoriya funktsii.: Razlozhenie i skhodimost, Izd-vo SGU, Saratov, 1983, 30–37

[4] Agaev G. N., Vilenkin N. Ya., Dzhafarli G. M., Rubinshtein A. I., Multiplikativnye sistemy funktsii i garmonicheskii analiz na nul-mernykh gruppakh, Elm, Baku, 1981