Acta mathematica scientia, Series B >
A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES
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).
In this paper, a characterization of orthonormal wavelet families in Sobolev spaces Hs(R) is established.
Key words: wavelets; orthonormal wavelet families; Sobolev spaces
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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