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A non-MRA Cr Frame Wavelet with Rapid Decay
Journal article   Peer reviewed

A non-MRA Cr Frame Wavelet with Rapid Decay

Lawrence Baggett, Palle Jorgensen, Kathy Merrill and Judith Packer
Acta applicandae mathematicae, Vol.89(1-3), pp.251-270
2005
DOI: 10.1007/s10440-005-9011-4

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Abstract

A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in $L^2(\\mathbb R)$. This example has the same multiplicity function as the Journ\\\u0027e wavelet, yet has a $C^{\\infty}$ Fourier transform and can be made to be $C^r$ for any fixed positive integer $r$.

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