Abstract
We resolve a long-standing question on completeness of the non-orthogonal Mexican hat wavelet system, in Lp for 1<p<2 and in the Hardy space Hp for 2/3<p≤1. Tools include the discrete Calderón condition, a generalization of the Daubechies frame criterion to a weighted L2 space, and imbeddings of that weighted space into Lp and Hardy spaces.
Original language | English (US) |
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Pages (from-to) | 204-213 |
Number of pages | 10 |
Journal | Applied and Computational Harmonic Analysis |
Volume | 30 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2011 |
Keywords
- Analysis
- Frame
- Spanning
- Synthesis
ASJC Scopus subject areas
- Applied Mathematics