Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605339 | Applied and Computational Harmonic Analysis | 2012 | 8 Pages |
Abstract
In this paper, we study the convergence of wavelet frame operators defined by Riemann sums of inverse wavelet transforms. We show that as the sampling density tends to the infinity, the wavelet frame operator tends to the identity or embedding mapping in various operator norms provided the wavelet function satisfies some smoothness and decay conditions. As a consequence, we also get some spanning results of affine systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis