Abstract
We study the relationship between stable sampling sequences for band-limited functions in $L^p(\mathbb{R}^n)$ and the Fourier multipliers in $L^p$. In the case that the sequence is a lattice and the spectrum is a fundamental domain for the lattice the connection is complete. In the case of irregular sequences there is still a partial relationship.
Citation
Basarab Matei. Yves Meyer. Joaquim Ortega-Cerdà. "Stable sampling and Fourier multipliers." Publ. Mat. 58 (2) 341 - 351, 2014.
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