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L2(Rs)上尺度函数的研究
引用本文:黄永东,李华,吴国昌.L2(Rs)上尺度函数的研究[J].数学季刊,2007,22(4):567-573.
作者姓名:黄永东  李华  吴国昌
作者单位:1.Department of Mathematics,North University for Nationalities,Yinchuan 750021,China;2.Department of Mathematics and Computer,Xinyang Vocational and Technical College,Xinyang 464000,China;3.School of Sciences,Xi'an Jiaotong University,Xi'an 710049,China
摘    要:In this paper,using the orthonormal multiresolution analysis(MRA)of L~2(R~(?)), we get two important properties of the scaling function with dilation matrix A=MI of L~2(R~(?)).These properties are characterized by some inequalities and equalities.

关 键 词:多分辨率分析  紧支持  尺度函数  傅立叶变换
文章编号:1002-0462(2007)04-0567-07
收稿时间:2005-11-14
修稿时间:2005年11月14

The Study on Scaling Function of L2(Rs)
HUANG Yong-dong,LI Hua,WU Guo-chang.The Study on Scaling Function of L2(Rs)[J].Chinese Quarterly Journal of Mathematics,2007,22(4):567-573.
Authors:HUANG Yong-dong  LI Hua  WU Guo-chang
Abstract:In this paper,using the orthonormal multiresolution analysis(MRA)of L~2(R~(?)), we get two important properties of the scaling function with dilation matrix A=MI of L~2(R~(?)).These properties are characterized by some inequalities and equalities.
Keywords:multiresolution analysis  compact support  scaling function  Fouries transform  
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