Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ISU_2009_9_3_a1, author = {S. S. Volosivets}, title = {Absolute convergence of single and double {Fourier} series on multiplicative systems}, journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics}, pages = {7--14}, publisher = {mathdoc}, volume = {9}, number = {3}, year = {2009}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a1/} }
TY - JOUR AU - S. S. Volosivets TI - Absolute convergence of single and double Fourier series on multiplicative systems JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2009 SP - 7 EP - 14 VL - 9 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a1/ LA - ru ID - ISU_2009_9_3_a1 ER -
%0 Journal Article %A S. S. Volosivets %T Absolute convergence of single and double Fourier series on multiplicative systems %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2009 %P 7-14 %V 9 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a1/ %G ru %F ISU_2009_9_3_a1
S. S. Volosivets. Absolute convergence of single and double Fourier series on multiplicative systems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 7-14. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a1/
[1] Golubov B. I., Efimov A. V., Skvortsov V. A., Ryady i preobrazovaniya Uolsha, Nauka, M., 1987 | MR | Zbl
[2] Moricz F., “Approximation by double Walsh polynomials”, Intern. J. Math. Math. Sci., 15:2 (1992), 209–220 | DOI | MR | Zbl
[3] Zigmund A., Trigonometricheskie ryady, v. 1, Mir, M., 1965 | MR
[4] Szasz O., “Fourier series and mean moduli of continuity”, Trans. Amer. Math. Soc., 42:3 (1937), 366–395 | DOI | MR
[5] 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 | MR
[6] Skhirtladze I. A., “Ob absolyutnoi skhodimosti ryadov Fure–Uolsha”, Soobsch. AN GSSR, 64:2 (1971), 273–276
[7] Skhirtladze I. A., “Ob absolyutnoi skhodimosti i summiruemosti prostykh i kratnykh ryadov Fure–Uolsha”, Soobsch. AN GSSR, 69:1 (1973), 17–20
[8] Tateoka J., “Absolute convergence of double Walsh–Fourier series”, Acta Sci. Math. (Szeged), 72:1–2 (2006), 101–115 | MR | Zbl
[9] Sunouchi G. I., “Notes on Fourier analysis. XI. On the absolute summability of Fourier series”, J. Math. Soc. Japan, 1:2 (1949), 122–129 | DOI | MR | Zbl
[10] Zhak I. E., Timan M. F., “O summirovanii dvoinykh ryadov”, Mat. sb., 35(77):1 (1954), 21–56 | MR | Zbl
[11] Volosivets S. S., “Priblizhenie funktsii ogranichennoi $p$-fluktuatsii polinomami po multiplikativnym sistemam”, Analysis Math., 21:1 (1995), 61–77 | DOI | MR | Zbl
[12] Izumi M., Izumi S., “On absolute convergence of Fourier series”, Arkiv för Matematik, 7:12 (1967), 177–184 | DOI | MR | Zbl