Anisotropic wavelet bases and thresholding
- authored by
- Reinhard Hochmuth
- Abstract
We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces Hp a for p > 0, which are known to be equal to Lp for p > 1. In particular, we characterize those functions that provide a specific convergence rate by intrinsic smoothness properties. To this end we apply restricted nonlinear approximation, see [3], which is a generalization of n-term approximation in which a weight function is used to control the terms of the approximations.
- External Organisation(s)
-
University of Kassel
- Type
- Article
- Journal
- Mathematische Nachrichten
- Volume
- 280
- Pages
- 523-533
- No. of pages
- 11
- ISSN
- 0025-584X
- Publication date
- 2007
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.1002/mana.200410500 (Access:
Unknown)
-
Details in the research portal "Research@Leibniz University"
