Uniform convergence of double trigonometric series
Studia Mathematica (1996)
- Volume: 118, Issue: 3, page 245-259
- ISSN: 0039-3223
Access Full Article
topAbstract
topHow to cite
topReferences
top- [CJ] T. W. Chaundy and A. E. Jolliffe, The uniform convergence of a certain class of trigonometric series, Proc. London Math. Soc. (2) 15 (1916), 214-216.
- [C1] C.-P. Chen, Weighted integrability and -convergence of multiple trigonometric series, Studia Math. 108 (1994), 177-190. Zbl0821.42007
- [C2] C.-P. Chen, Integrability of multiple trigonometric series and Parseval's formula, J. Math. Anal. Appl. 186 (1994), 182-199. Zbl0807.42007
- [CL] C.-P. Chen and C.-C. Lin, Integrability, mean convergence, and Parseval's formula for double trigonometric series, preprint. Zbl0907.42009
- [D] M. I. Dyachenko, The rate of u-convergence of multiple Fourier series, Acta Math. Hungar. 68 (1995), 55-70. Zbl0828.42007
- [J] A. E. Jolliffe, On certain trigonometric series which have a necessary and sufficient condition for uniform convergence, Math. Proc. Cambridge Philos. Soc. 19 (1921), 191-195.
- [K] J. Karamata, Sur un mode de croissance régulière des fonctions, Mathematica (Cluj) 4 (1930), 38-53. Zbl56.0907.01
- [M1] F. Móricz, Convergence and integrability of double trigonometric series with coefficients of bounded variation, Proc. Amer. Math. Soc. 102 (1988), 633-640. Zbl0666.42004
- [M2] F. Móricz, On the integrability and -convergence of double trigonometric series, Studia Math. 98 (1991), 203-225. Zbl0724.42015
- [M3] F. Móricz, On the integrability of double cosine and sine series I, J. Math. Anal. Appl. 154 (1991), 452-465. Zbl0724.42013
- [N] J. R. Nurcombe, On the uniform convergence of sine series with quasimonotone coefficients, ibid. 166 (1992), 577-581. Zbl0756.42006
- [S] O. Szász, Quasi-monotone series, Amer. J. Math. 70 (1948), 203-206. Zbl0035.03901
- [XZ] T. F. Xie and S. P. Zhou, The uniform convergence of certain trigonometric series, J. Math. Anal. Appl. 181 (1994), 171-180. Zbl0791.42004
- [Z] A. Zygmund, Trigonometric Series, 2nd ed., Cambridge Univ. Press, Cambridge, 1968. Zbl0157.38204