Oversampling of wavelet frames for real dilations
Functional Analysis
2012-04-16 v1
Abstract
We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix oversampling of semi-orthogonal Parseval wavelet frames and the additional shift invariance gain of the core subspace.
Cite
@article{arxiv.1204.2967,
title = {Oversampling of wavelet frames for real dilations},
author = {Marcin Bownik and Jakob Lemvig},
journal= {arXiv preprint arXiv:1204.2967},
year = {2012}
}
Comments
Journal of London Mathematical Society, published online March 13, 2012 (to appear in print)