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1 results

  • Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets

  • Yang Shouzhi
  • Journal:
    The ANZIAM Journal / Volume 49 / Issue 1 / July 2007
    Published online by Cambridge University Press:
    17 February 2009, pp. 85-97
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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.