Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605610 | Applied and Computational Harmonic Analysis | 2007 | 9 Pages |
Abstract
Density conditions for wavelet systems with arbitrary sampling points to be frames are studied. We show that for a wavelet system generated by admissible functions with irregular affine lattices to be a frame, the sampling points must have a positive lower affine Beurling density. The same is true for wavelet systems with arbitrary sampling points and nice generating functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis