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Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets

Published online by Cambridge University Press:  17 February 2009

Yang Shouzhi
Affiliation:
Dept of Maths Shantou UniversityShantou 515063 P.R. [email protected].
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2007

References

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