caa a22 4500 477073964 CHVBK 20180405111434.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF02254735 doi (NATIONALLICENCE)springer-10.1007/BF02254735 Khazaradze M. Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., 380043, Tbilisi, Republic of Georgia aut On a problem of littlewood [Elektronische Daten] [M. Khazaradze] The theorem on the tending to zero of coefficients of a trigonometric series is proved when theL 1-norms of partial sums of this series are bounded. It is shown that the analog of Helson's theorem does not hold for orthogonal series with respect to the bounded orthonormal system. Two facts are given that are similar to Weis' theorem on the existence of a trigonometric series which is not a Fourier series and whoseL 1-norms of partial sums are bounded. Plenum Publishing Corporation, 1996 Tending to zero of coefficients of a trigonometric series nationallicence Riesz product nationallicence Fourier-Stieltjes series nationallicence Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/2(1996-03-01), 121-132 1072-947X 3:2<121 1996 3 11290 https://doi.org/10.1007/BF02254735 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02254735 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Khazaradze M. Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., 380043, Tbilisi, Republic of Georgia aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/2(1996-03-01), 121-132 1072-947X 3:2<121 1996 3 11290 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 37824969X BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer