A non-MRA $C^r$ frame wavelet with rapid decay
| dc.creator | Baggett, Lawrence | |
| dc.creator | Jorgensen, Palle | |
| dc.creator | Merrill, Kathy | |
| dc.creator | Packer, Judith | |
| dc.date | 2005-04-19 | |
| dc.date | 2005-12-02 | |
| dc.date.accessioned | 2026-07-07T06:39:49Z | |
| dc.date.available | 2026-07-07T06:39:49Z | |
| dc.description | 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 Journé wavelet, yet has a $C^{\infty}$ Fourier transform and can be made to be $C^r$ for any fixed positive integer $r$. | |
| dc.description | 20 pages; v2 has graphics for Figures 1, 2, 3, 4; v3 has Figures 5, 6; accepted in 'Acta Applicandae Mathematicae' | |
| dc.identifier | https://arxiv.org/abs/math/0504394 | |
| dc.identifier | http://arxiv.org/abs/math/0504394 | |
| dc.identifier | Acta Appl. Math. 89 (2006), 251--270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101218 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Operator Algebras | |
| dc.subject | 54C40, 14E20 (Primary), 46E25, 20C20 (Secondary) | |
| dc.title | A non-MRA $C^r$ frame wavelet with rapid decay | |
| dc.type | text |