Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A non-MRA $$C^r$$ Frame Wavelet with Rapid Decay

A non-MRA $$C^r$$ Frame Wavelet with Rapid Decay A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in $$L^{2} {\left( \mathbb{R} \right)}$$ . 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 postive integer $$r$$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

A non-MRA $$C^r$$ Frame Wavelet with Rapid Decay

Loading next page...
 
/lp/springer-journals/a-non-mra-c-r-frame-wavelet-with-rapid-decay-f1qen8VMNh

References (35)

Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer Science+Business Media, Inc.
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-005-9011-4
Publisher site
See Article on Publisher Site

Abstract

A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in $$L^{2} {\left( \mathbb{R} \right)}$$ . 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 postive integer $$r$$ .

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Mar 4, 2006

There are no references for this article.