A non-MRA $C^r$ frame wavelet with rapid decay
Classical Analysis and ODEs
2007-05-23 v3 Operator Algebras
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 Journ\'e wavelet, yet has a Fourier transform and can be made to be for any fixed positive integer .
Cite
@article{arxiv.math/0504394,
title = {A non-MRA $C^r$ frame wavelet with rapid decay},
author = {Lawrence Baggett and Palle Jorgensen and Kathy Merrill and Judith Packer},
journal= {arXiv preprint arXiv:math/0504394},
year = {2007}
}
Comments
20 pages; v2 has graphics for Figures 1, 2, 3, 4; v3 has Figures 5, 6; accepted in 'Acta Applicandae Mathematicae'