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arXiv · 1303.2791

Stable sampling and Fourier multipliers

Basarab Matei·Yves Meyer·Joaquim Ortega-Cerdà
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Abstract

We study the relationship between stable sampling sequences for bandlimited functions in $L^p(\R^n)$ 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.

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Basarab Matei, Yves Meyer, Joaquim Ortega-Cerdà. 2013-03-12. Stable sampling and Fourier multipliers. https://arxiv.org/abs/1303.2791

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