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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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