Deterministic guarantees for $L^{1}$-reconstruction: A large sieve approach with geometric flexibility
Functional Analysis
2019-02-04 v1
Abstract
We present estimates of the -concentration ratio for various function spaces on different geometries including the line, the sphere, the plane, and the hyperbolic disc, using large sieve methods. Thereby, we focus on -estimates which can be used to guarantee the reconstruction from corrupted or partial information.
Cite
@article{arxiv.1902.00427,
title = {Deterministic guarantees for $L^{1}$-reconstruction: A large sieve approach with geometric flexibility},
author = {Luís Daniel Abreu and Michael Speckbacher},
journal= {arXiv preprint arXiv:1902.00427},
year = {2019}
}