Articles

A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

  • LU Da-Yong ,
  • LI De-Feng
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  • 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 date: 2009-04-02

  Revised date: 2010-05-22

  Online 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.

Cite this article

LU Da-Yong , LI De-Feng . A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1475 -1488 . DOI: 10.1016/S0252-9602(11)60333-0

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