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Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets

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Abstract

In this paper, we introduce biorthogonal multiple vector-valued wavelets which are wavelets for vector fields. We proved that, like in the scalar and multiwavelet case, the existence of a pair of biorthogonal multiple vector-valued scaling functions guarantees the existence of a pair of biorthogonal multiple vector-valued wavelet functions. Finally, we investigate the construction of a class of compactly supported biorthogonal multiple vector-valued wavelets.

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Authors and Affiliations

  1. Faculty of Science, Xi’an Jongtong University, 710049, Xi’an, P. R. China

    Qing-Jiang Chen, Zheng-Xing Cheng & Cui-Ling Wang

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  1. Qing-Jiang Chen
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  2. Zheng-Xing Cheng
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  3. Cui-Ling Wang
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Correspondence to Qing-Jiang Chen.

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Chen, QJ., Cheng, ZX. & Wang, CL. Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets. J. Appl. Math. Comput. 22, 101–115 (2006). https://doi.org/10.1007/BF02832040

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  • DOI: https://doi.org/10.1007/BF02832040

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