Oversampling of wavelet frames for real dilations
arXiv:1204.2967 · doi:10.1112/jlms/jdr067
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.
Journal of London Mathematical Society, published online March 13, 2012 (to appear in print)