A non-MRA Cr frame wavelet with rapid decay
Lawrence Baggett, Palle Jorgensen, Kathy Merrill, Judith Packer
Abstract
A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in L2( R). This example has the same multiplicity function as the Journé wavelet, yet has a C∞ Fourier transform and can be made to be Cr for any fixed positive integer r.
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