Abstract
We construct an orthonormal basis for the family of bi-variate α-modulation spaces. The construction is based on local trigonometric bases, and the basis elements are closely related to so-called brushlets. As an application, we show that m-term nonlinear approximation with the representing system in an α-modulation space can be completely characterized.
| Original language | English |
|---|---|
| Journal | Collectanea Mathematica |
| Volume | 61 |
| Issue number | 2 |
| Pages (from-to) | 173-190 |
| Number of pages | 18 |
| ISSN | 0010-0757 |
| Publication status | Published - 2010 |