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A non-MRA C^r Frame Wavelet with Rapid Decay |
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| Authors: | Lawrence Baggett Palle Jorgensen Kathy Merrill Judith Packer |
| Affiliation: | (1) Department of Mathematics, University of Colorado, Campus Box 395, Boulder, CO 80309-0395, USA;(2) Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242-1419, USA;(3) Department of Mathematics, Colorado College, Colorado Springs, CO 80903-3294, USA |
| Abstract: | A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in  . This example has the same multiplicity function as the Journé wavelet, yet has a  Fourier transform and can be made to be  for any fixed postive integer  . L. Baggett and P. Jorgensen were supported by a US–NSF Focused Research Group (FRG) grant. |
| Keywords: | Primary 54C40, 14E20 Secondary 46E25 20C20 |
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