J Inequal Appl
 2018
DOI: 10.1186/s13660-018-1630-1
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The bounds estimate of sub-band operators for multi-band wavelets

Qingyun Zou
1
,
Guoqiu Wang
2
,
Qian Cao
3

Abstract: A concept of the sub-band operator of multi-band wavelets is introduced, the theory of d-circular matrices is developed and the upper bound and the lower bound of the norm of the sub-band operator are obtained. Examples are provided to illustrate the results proposed in this paper.

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