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arXiv · 2005.11193

On 2-dimensional mobile sampling

Alexander Rashkovskii·Alexander Ulanovskii·Ilya Zlotnikov
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Abstract

Necessary and sufficient conditions are presented for several families of planar curves to form a set of stable sampling for the Bernstein space $\mathcal{B}_{\Omega}$ over a convex set $\Omega \subset \mathbb{R}^2$. These conditions "essentially" describe the mobile sampling property of these families for the Paley-Wiener spaces $\mathcal{PW}^p_{\Omega},1\leq p<\infty$.

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Alexander Rashkovskii, Alexander Ulanovskii, Ilya Zlotnikov. 2020-05-22. On 2-dimensional mobile sampling. https://doi.org/10.1016/j.acha.2022.08.001

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