Article ID Journal Published Year Pages File Type
4605610 Applied and Computational Harmonic Analysis 2007 9 Pages PDF
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