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arXiv · 1902.00427

Deterministic guarantees for $L^{1}$-reconstruction: A large sieve approach with geometric flexibility

Luís Daniel Abreu·Michael Speckbacher
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Abstract

We present estimates of the $p$-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 $L^{1}$-estimates which can be used to guarantee the reconstruction from corrupted or partial information.

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Luís Daniel Abreu, Michael Speckbacher. 2019-02-01. Deterministic guarantees for $L^{1}$-reconstruction: A large sieve approach with geometric flexibility. https://arxiv.org/abs/1902.00427

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