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《Acta Mathematica Sinica》 2002-04
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Orthonormal Multi-Wavelets on the Interval [0,1] with Multiptiplicity r

Shou Zhi YANG(Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China)(Department of Mathematics Xinyang Teachers College, Xinyang 464000, P. R. China)(E-mail: yangshouzhi@263.net)Zheng Xing CHENG(Faculty of Science, Xi'an Jiaotong Univer  
The objective of this paper is to exhibit the construction of compactly supported orthonormal multi-scaling functions and the corresponding compactly supported orthonormal multi-wevelets on the interval [0,1] with multiplicity r, using compactly supported orthonormal multi-scaling functions and the corresponding supported orthonormal multi-wavelets on L2(R). Since Dim Vj[0,1] = DimWj[0, 1] ( j≤j0), the multi-wavelets are more convenient in its application. The corresponding example is given.
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