The Characterization of Biorthogonal Multidimensional Vector Wavelet Wraps with Nine-Scale Dilation Factor

Abstract:

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Wavelet analysis is nowadays a widely used tool in applied mathematics. The advantages of wavelet wraps and their promising features in various application have attracted a lot of interest and effort in recent years. In this paper, we develop the notion of a sort of multivariate vector wavelet wraps. A new approcah for designing the multidimensional vector wavelet wraps is formul- ated. Their characters are investigated by virtue of iterative method, time-frequency analysis metho- d and matrix theory. There biorthogonality formulas regarding the wavelet wraps are provided. Biorthogonality decomposition relation formulas of the space L2(Rn)r are obtained by constructing a series of subspaces of the vector-valued wavelet wraps. Moreover, several Riesz bases of space L2(Rn)r are constructed from the wavelet wraps.

Info:

Periodical:

Advanced Materials Research (Volumes 171-172)

Edited by:

Zhihua Xu, Gang Shen and Sally Lin

Pages:

121-124

DOI:

10.4028/www.scientific.net/AMR.171-172.121

Citation:

Z. S. Sheng and Y. M. Yu, "The Characterization of Biorthogonal Multidimensional Vector Wavelet Wraps with Nine-Scale Dilation Factor", Advanced Materials Research, Vols. 171-172, pp. 121-124, 2011

Online since:

December 2010

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Price:

$35.00

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