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Numerical Functional Analysis and Optimization Volume 31, 2010 - Issue 7
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Original Articles

Tight Multiwavelet Frames with Different Matrix Dilations and Matrix Translations

Dengfeng Li College of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, P.R. ChinaCorrespondence[email protected]
&
Xianliang Shi College of Mathematics and Computer Science, Hunan Normal University, Changsha, P.R. China
Pages 798-813 | Received 31 Jan 2010, Accepted 24 Jun 2010, Published online: 02 Aug 2010
 
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Abstract

The characterization of tight multiwavelet frames with different matrix dilations and matrix translations for L 2(R d ) is established. The result contains and further extends the generalizations that have appeared in the literature. Two sufficient conditions for affine frames are also presented.

AMS Subject Classification:

ACKNOWLEDGMENT

This work was supported by the National Natural Science Foundation of China (No. 10671062, No. 60806021), Innovation Scientists and Technicians Troop Construction Projects of Henan Province of China (No. 084100510012) and the Natural Science Foundation for the Education Department of Henan Province of China (No. 2008B510001).

We are deeply indebted to the referees for their very valuable suggestions, which greatly improve the presentation of this article.

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