| 具有矩阵伸缩的尺度函数双正交特征 |
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| 引用本文： | 李登峰. 具有矩阵伸缩的尺度函数双正交特征[J]. 数学年刊A辑(中文版), 2001, 0(5) |
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| 作者姓名： | 李登峰 |
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| 作者单位： | 河南大学数学系 开封475001东南大学移动通信国家重点实验室，南京210096. |
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| 基金项目： | 国家自然科学基金（No．69982002，中国博士后科学基金资助的项目． |
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| 摘 要： | 考虑了高维具有矩阵伸缩的尺度函数双正交性问题．给出了这种情形下尺度函数双正交性的三个特征刻划及尺度函数属于Ｌ～２（Ｒ～ｄ）的几个充分条件．
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| 关 键 词： | 双正交性 尺度函数 伸缩矩阵 符号函数 |
THE CHARACTERIZATIONS OF BIORTHOGONALITY OF SCALING FUNCTIONS WITH AN ARBITRARY DILATION MATRIX |
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| LI Dengfeng. THE CHARACTERIZATIONS OF BIORTHOGONALITY OF SCALING FUNCTIONS WITH AN ARBITRARY DILATION MATRIX[J]. Chinese Annals of Mathematics, 2001, 0(5) |
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| Authors: | LI Dengfeng |
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| Affiliation: | LI Dengfeng Department of Mathematics,Henan University,Kaifeng 475001,China, National Mobile Communications Research Laboratory Southeast University,Nanjing 210096,China. |
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| Abstract: | We consider biorthogonality of multi-integer shifts of scaling functions with an arbitrary dilation matrix. In result, three characterizations of the biorthogonality are given. |
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| Keywords: | Biorthogonality Scaling function Dilation matrix Symbol function |
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