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# Constructional Approaches on Vector-Valued Wavelets with Multi-Scale Dilation Factor

## Abstract:

In this work, the notion of vector-valued multiresolution analysis and biort- ogonal vector–valued wavelets is introduced. The existence of finitely supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal finitely supported vector-valued scaling functions is investigated. A new method for construc- -ting a class of biorthogonal finitely supported vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory. A sufficient condition for the existence of multiple pseudoframes for subspaces is derived

## Info:

Periodical:

Edited by:

Yanwen Wu

Pages:

323-328

DOI:

10.4028/www.scientific.net/KEM.460-461.323

Citation:

Q. J. Chen and J. T. Zhao, "Constructional Approaches on Vector-Valued Wavelets with Multi-Scale Dilation Factor", Key Engineering Materials, Vols. 460-461, pp. 323-328, 2011

Online since:

January 2011

Authors:

Price:

$38.00

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