$M$-sets for three classes of series in the Faber–Schauder system
Matematičeskie zametki, Tome 64 (1998) no. 5, pp. 734-748
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Three classes of series in the Faber–Schauder system, differing in conditions on the character of vanishing of their coefficients, are considered; the $M$-sets for these classes of series are compared. The union of uniqueness sets for these classes is studied.
[1] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Nauka, M., 1984 | Zbl
[2] Kholschevnikova N. N., “O mnozhestvakh edinstvennosti dlya ryadov po razlichnym sistemam funktsii”, Izv. RAN. Ser. matem., 57:1 (1993), 167–182
[3] Kholschevnikova N. N., “O svoistvakh tonkikh mnozhestv dlya trigonometricheskikh i nekotorykh drugikh ryadov”, Dokl. RAN, 327:4–6 (1992), 446–449
[4] Kholschevnikova N. N., “Obobschennaya teorema Bari dlya sistemy Uolsha”, Matem. sb., 183:10 (1992), 3–12 | MR