On the unconditional convergence of wavelet expansions for continuous functions
On the unconditional convergence of wavelet expansions for continuous functions
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连续函数小波展开式的无条件收敛
DOI：
10.1142/s0219691316500077
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
T. Suzuki
中科院分区：
文献类型：
--
作者：
N. Fukuda;T. Kinoshita;T. Suzuki
本文研究了Lipschitz小波展开式的无条件收敛性。特别是对于Strömberg小波，我们将构造一个反例，表明即使对于连续函数，一致收敛的小波展开也不总是无条件收敛于。
In this paper, we study the unconditional convergence of wavelet expansions with Lipschitz wavelets. Especially with the Strömberg wavelet, we shall construct a counter example which shows that uniformly convergent wavelet expansions even for continuous functions do not always converge unconditionally in.