Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets |
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Authors: | Qing-Jiang Chen Zheng-Xing Cheng Cui-Ling Wang |
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Institution: | 1. Faculty of Science, Xi’an Jongtong University, 710049, Xi’an, P. R. China
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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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