Pre-wavelet bases in Lebesgue spaces

被引：2

作者：

Gun, Chiou-Yueh ^{[1
]}

Wang, Kai-Cheng ^{[2
]}

Yang, Chi-I ^{[2
]}

Chang, Kuei-Fang ^{[3
]}

机构：

[1] Nankai Univ Technol, Dept Mech Engn, Nantou 54243, Taiwan

[2] Feng Chia Univ, Program Mech & Aeronaut Engn, Taichung 40724, Taiwan

[3] Feng Chia Univ, Dept Appl Math, Taichung 40724, Taiwan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

bijectivity; Calderon-Zygmund decomposition theorem; frame; Riesz basis; semi-orthogoal; unconditional basis; wavelet; Wiener's lemma; COMPACTLY SUPPORTED WAVELETS; ORTHONORMAL BASES; FRAME; LOCALIZATION; ONDELETTES;

D O I：

10.1186/s13660-015-0811-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the decay condition, we have constructed the dual wavelet basis of a pre-wavelet basis. The frame operators of both bases are bijective on Lebesgue spaces. Both bases are also unconditional bases for Lebesgue spaces.

引用

页数：16

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