## Abstract We show that the recently discovered WILSON bases of exponential decay are unconditional bases for all modulation spaces on __R__, including the classical BESSEL potential spaces, the Segal algebra __S__~o~, and the SCHWARTZ space. As a consequence we obtain new bases for spaces of enti
Greedy bases in weighted modulation spaces
β Scribed by Mitsuo Izuki; Yoshihiro Sawano
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 328 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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## Abstract The aim of this paper is twofold. First we prove that inhomogeneous wavelets of Daubechies type are unconditional Schauder bases in weighted function spaces of __B^s^~pq~__ and __F^s^~pq~__ type. Secondly we use these results to estimate entropy numbers of compact embeddings between the
Let S be a finite set and M = (S, B) be a matroid where B is the set of its bases. We say that a basis B is greedy in M or the pair (M, B) is greedy if, for every sum of bases vector w, the coefficient: where B and its characteristic vector will not be distinguished, is integer. We define a notion