| Orlicz 空间小波展开的收敛性 |
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| 引用本文： | 谭昌眉.Orlicz 空间小波展开的收敛性[J].数学研究及应用,2011,31(3):528-534. |
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| 作者姓名： | 谭昌眉 |
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| 作者单位： | 重庆文理学院数学系, 重庆 永川 402160 |
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| 基金项目： | 重庆市教育委员会科学技术基金(Grant No.KJ061201). |
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| 摘 要： | In this paper we study the convergence in norm and pointwise convergence of wavelet expansion in the Orlicz spaces,and prove that,under certain conditions on the wavelet,the wavelet expansion converges in the Orlicz-norm and also converges almost everywhere.
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| 关 键 词： | pointwise convergence wavelet Orlicz spaces. |
| 收稿时间： | 2009/10/10 0:00:00 |
| 修稿时间： | 2010/5/28 0:00:00 |
Convergence of Wavelet Expansions in the Orlicz Space |
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| Chang Mei TAN.Convergence of Wavelet Expansions in the Orlicz Space[J].Journal of Mathematical Research with Applications,2011,31(3):528-534. |
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| Authors: | Chang Mei TAN |
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| Institution: | Department of Mathematics, Chongqing University of Arts and Sciences,Chongqing 402160, P. R. China |
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| Abstract: | In this paper we study the convergence in norm and pointwise convergence of wavelet expansion in the Orlicz spaces, and prove that, under certain conditions on the wavelet, the wavelet expansion converges in the Orlicz-norm and also converges almost everywhere. |
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| Keywords: | pointwise convergence wavelet Orlicz spaces |
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