| 卷积算子的Gibbs现象 |
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| 引用本文： | 毛念英,施咸亮.卷积算子的Gibbs现象[J].数学学报,2011(5):715-720. |
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| 作者姓名： | 毛念英 施咸亮 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(11071065); 高校博士点科研基金(20094306110004); 湖南省高校科技刨新团队支援计划资助项目 |
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| 摘 要： | 本文建立了一般卷积算子在函数的第一类间断点处有Gibbs现象的刻画定理,并且给出了某些例子.
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| 关 键 词： | 第一类间断点 卷积算子 Gibbs现象 |
Characterization of Generators for Multiresolution |
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| Nian Ying MAO Xian Liang SHI College of Mathematics , Computer Science,Hu'nan Normal University,Changsha ,P.R.China.Characterization of Generators for Multiresolution[J].Acta Mathematica Sinica,2011(5):715-720. |
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| Authors: | Nian Ying MAO Xian Liang SHI College of Mathematics Computer Science Hu'nan Normal University Changsha PRChina |
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| Institution: | Nian Ying MAO Xian Liang SHI College of Mathematics and Computer Science,Hu'nan Normal University,Changsha 410081,P.R.China |
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| Abstract: | A characterization on Gibbs phenomenon for convolution operators at a simple discontinuity of a function is established.Furthermore,some examples are given. |
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| Keywords: | simple discontinuity convolution operator Gibbs phenomenon |
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