caa a22 4500 475742001 CHVBK 20180406123502.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/BF02676339 doi (NATIONALLICENCE)springer-10.1007/BF02676339 Kholshchevnikova N. Moscow State Technical University "Stankin”, USSR aut Theorems on unions of U -sets [Elektronische Daten] [N. Kholshchevnikova] The properties of families of subsets of topological spaces that make it possible to separate out the common core of the proofs of theorems on unions of sets of uniqueness for series in various systems of functions are considered. As a consequence of the results obtained, it is proved, in particular, that the countable union of closed sets of uniqueness for the trigonometric series is a set of uniqueness for the Abel-Poisson summation method. Kluwer Academic/Plenum Publishers, 2000 set of uniqueness nationallicence G δ-set nationallicence F σ-set nationallicence family with the (reduced) kernel property nationallicence trigonometric series nationallicence (generalized) Walsh system nationallicence Abel-Poisson summation method nationallicence zero-series nationallicence (reduced) kernel of a series nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 657-664 0001-4346 67:5<657 2000 67 11006 https://doi.org/10.1007/BF02676339 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676339 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kholshchevnikova N. Moscow State Technical University "Stankin”, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 657-664 0001-4346 67:5<657 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer