Shou Zhi Yang 
Department of Mathematics Shantou University Shantou 515063 P.R. China szyang@stu.edu.cn. 

Received 2 May, 2004; revised 30 June, 2006

Abstract
A method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorthogonal multiwavelets is obtained. A multiwavelet sampling theorem is also established. In addition, we improve the stability of the biorthogonal interpolatory multiwavelet frame by the linear combination of a pair of biorthogonal interpolatory multiwavelets. Finally, we give an example illustrating how to use our method to construct biorthogonal interpolatory multiscaling functions and corresponding multiwavelets.
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