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| M进制尺度函数和正交小波的Fourier变换的紧支集刻画 | |
| 引用本文： | 朱凤娟,李华,黄永东.M进制尺度函数和正交小波的Fourier变换的紧支集刻画[J].宁夏大学学报(自然科学版),2007,28(3):202-205. |
| 作者姓名： | 朱凤娟 李华 黄永东 |
| 作者单位： | 1. 北方民族大学,基础部,宁夏,银川,750021 2. 信阳职业技术学院,数学与计算机系,河南,信阳,464000 3. 北方民族大学,信息与系统科学研究所,宁夏,银川,750021 |
| 摘 要： | 借助于正交多分辨分析和Fourier变换,在较弱条件下给出了空间L^2（R）上M进制尺度函数的3个新性质.并利用一些等式和不等式,给出了正交尺度函数和正交小波的Fourier变换的紧支集刻画.所得结果推广和改进了彭思龙和吴华安的结论. |
| 关 键 词： | 多分辨分析 尺度函数 正交小波 紧支撑 Fourier变换 |
| 文章编号： | 0253-2328（2007）03-0202-04 |
| 修稿时间： | 2006-04-22 |
Characterization of Compactly Support of Fourier Transform for M-band Scaling Function and Orthogonal Wavelets |
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| Zhu Fengjuan,Li hua,Huang Yongdong.Characterization of Compactly Support of Fourier Transform for M-band Scaling Function and Orthogonal Wavelets[J].Journal of Ningxia University(Natural Science Edition),2007,28(3):202-205. | |
| Authors: | Zhu Fengjuan Li hua Huang Yongdong |
| Institution: | 1.Department of Foundation,North China for University Nationalities,Yinchuan 750021,China;2.Department of Mathematics and Computer Science,Xinyang Vocational and Technical College,Xinyang 464000,China;3.Institute of Information and System Science,North China University for Nationalities,Yinchuan 750021,China |
| Abstract: | |
| Keywords: | multiresolution analysis scaling function orthogonal wavelets compact support Fourier transform |
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