On 2-dimensional mobile sampling

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 ${\mathcal{PW}}_{\Omega }^p,1\le p<\infty$.

24 pages, 1 figure

Cited by in corpus (1)

• On planar sampling with Gaussian kernel in spaces of bandlimited functions