L2（Rs）上尺度函数的研究

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 567-573.

L²（R^s）上尺度函数的研究

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

收稿日期:2005-11-14 出版日期:2007-12-30 发布日期:2023-10-20
作者简介:HUANG Yong-dong(1974-), male, native of Zhongwei, Ningxia, an associate professor of North University for Nationalities, Ph.D., engages in wavelet analysis and signal processing
基金资助:
Supported by the Natural Science Foundation of Ningxia Province(NZ0691)；

The Study on Scaling Function of L²（R^s）

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

Received:2005-11-14 Online:2007-12-30 Published:2023-10-20
About author:HUANG Yong-dong(1974-), male, native of Zhongwei, Ningxia, an associate professor of North University for Nationalities, Ph.D., engages in wavelet analysis and signal processing
Supported by:
Supported by the Natural Science Foundation of Ningxia Province(NZ0691)；

摘要/Abstract

摘要： In this paper,using the orthonormal multiresolution analysis(MRA)of L2(R?), we get two important properties of the scaling function with dilation matrix A=MI of L2(R?).These properties are characterized by some inequalities and equalities.

关键词: multiresolution analysis, compact support, scaling function, Fouries transform

Abstract: In this paper,using the orthonormal multiresolution analysis(MRA)of L2(R?), we get two important properties of the scaling function with dilation matrix A=MI of L2(R?).These properties are characterized by some inequalities and equalities.

Key words: multiresolution analysis, compact support, scaling function, Fouries transform

中图分类号:

O174.2

黄永东, 李华, 吴国昌. L²（R^s）上尺度函数的研究[J]. 数学季刊, 2007, 22(4): 567-573.

HUANG Yong-dong, LI Hua, WU Guo-chang. The Study on Scaling Function of L²（R^s）[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 567-573.

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L²（R^s）上尺度函数的研究

The Study on Scaling Function of L²（R^s）

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