# Biorthogonal multiple wavelets generated by vector refinement equation

@article{Li2007BiorthogonalMW,
title={Biorthogonal multiple wavelets generated by vector refinement equation},
author={Song Li and Jun Xian},
journal={Science in China Series A: Mathematics},
year={2007},
volume={50},
pages={1015-1025}
}
AbstractBiorthogonal multiple wavelets are generated from refinable function vectors by using the multiresolution analysis. In this paper we provide a general method for the construction of compactly supported biorthogonal multiple wavelets by refinable function vectors which are the solutions of vector refinement equations of the form $$\varphi (x) = \sum\limits_{\alpha \in \mathbb{Z}^s } {a(\alpha )\varphi (Mx - \alpha ), x \in \mathbb{R}^s } ,$$ where the vector of functions ϕ = (ϕ1, …, ϕr… CONTINUE READING

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