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

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

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...

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Veröffentlicht in:Journal of applied mathematics & computing 2006-10, Vol.22 (3), p.101-115
Hauptverfasser: Chen, Qing-Jiang, Cheng, Zheng-Xing, Wang, Cui-Ling
Format: Artikel
Sprache:eng
Schlagworte:
Studies
Vector space
Wavelet transforms
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Zusammenfassung: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.[PUBLICATION ABSTRACT]
ISSN:1598-5865
1865-2085
DOI:10.1007/BF02832040