Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (4): 1475-1488.doi: 10.1016/S0252-9602(11)60333-0

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A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

 LU Da-Yong1,2, LI De-Feng1   

  1. 1. Institute of Applied Mathematics, College of Mathematics and Information Science, Henan University, Kaifeng 475001, China;
    2. College of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2009-04-02 Revised:2010-05-22 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    This work was partly supported by the National Natural Science Foundation of China (61071189), Innovation Scientists and Technicians Troop Construction of Henan Province of China (084100510012) and the Natural Science Foundation for the Education Department of Henan Province of China (2008B510001).

Abstract:

In this paper, a characterization of orthonormal wavelet families in Sobolev spaces Hs(R) is established.

Key words: wavelets, orthonormal wavelet families, Sobolev spaces

CLC Number: 

  • 42C15
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