Characterization of Modulation Spaces by Nonlinear Approximation
泛函分析
2007-05-23 v1
摘要
It is shown that the modulation spaces can be characterized by the approximation behavior of their elements using Local Fourier bases. In analogy to the Local Fourier bases, we show that the modulation spaces can also be characterized by the approximation behavior of their elements using Gabor frames. We derive direct and inverse approximation theorems that describe the best approximation by linear combinations of N terms of a given function using its modulates and translates.
引用
@article{arxiv.math/0602250,
title = {Characterization of Modulation Spaces by Nonlinear Approximation},
author = {S. Samarah and S. Al-Sa'di},
journal= {arXiv preprint arXiv:math/0602250},
year = {2007}
}
备注
12 pages