A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

doi:10.1016/S0252-9602(11)60333-0

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1475-1488.doi: 10.1016/S0252-9602(11)60333-0

A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

鲁大勇^1,2|李登峰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

收稿日期:2009-04-02 修回日期:2010-05-22 出版日期:2011-07-20 发布日期:2011-07-20
基金资助:
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).

A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

LU Da-Yong^1,2, LI De-Feng¹

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).

摘要/Abstract

摘要：

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

关键词: wavelets, orthonormal wavelet families, Sobolev spaces

Abstract:

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

Key words: wavelets, orthonormal wavelet families, Sobolev spaces

中图分类号:

42C15

鲁大勇, 李登峰. A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES[J]. 数学物理学报(英文版), 2011, 31(4): 1475-1488.

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.

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A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES

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