Strong summability and properties of Fourier–Laplace series on a sphere

被引:0
作者
R. A. Lasuriya
机构
[1] Abkhazia University,
来源
Ukrainian Mathematical Journal | 2012年 / 64卷
关键词
Spherical Harmonic; Yield Relation; Trigonometric Series; Absolute Convergence; Nonnegative Number;
D O I
暂无
中图分类号
学科分类号
摘要
We investigate the behavior of quantities that characterize the strong summability of Fourier–Laplace series. On this basis, we establish some properties of the Fourier–Laplace series of functions of the class L2 (Sm−1).
引用
收藏
页码:737 / 751
页数:14
相关论文
共 3 条
[1]  
Fomin GA(1964)On linear methods of summation of Fourier series Mat. Sb. 65 144-152
[2]  
Hardy GH(1916)Weierstrass’s non-differentiable function Proc. Amer. Math. Soc. 17 301-325
[3]  
Weyl H(1917)Bemerkungen zum Begriff der Differentialquotienten gebrochener Ordnung Viertel. Natur. Ges. Zürich. 62 296-302