Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (4): 567-573.

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The Study on Scaling Function of L2(Rs

  

  1. 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);

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

CLC Number: