Convergence of the Fourier Series of Lip 1 Functions with Respect to General Orthonormal Systems

被引：0
作者：
L. Gogoladze
V. Tsagareishvili
机构：
[1] Javakhishvili Tbilisi State University,
来源：
Ukrainian Mathematical Journal | 2017年 / 69卷
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摘要：
We establish sufficient conditions that should be satisfied by functions of a general orthonormal system (ONS) {φn(x)} in order that the Fourier series in this system be convergent almost everywhere on [0, 1] for any function from the class Lip 1. It is shown that the obtained conditions are best possible in a certain sense.
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页码：546 / 560
页数：14
相关论文
共 4 条
[1]  
Banach S(1940)Sur la divergence des séries orthogonales Studia Math. 9 139-155
[2]  
Gogoladze L(2013)Some classes of functions and Fourier coefficients with respect to general orthonormal systems Tr. Steklov Mat. Inst. 280 162-174
[3]  
Tsagareishvili V(1949)On the Walsh functions Trans. Amer. Math. Soc. 65 372-414
[4]  
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