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arXiv · 0806.2916

$L^2-$interpolation with error and size of spectra

Alexander Olevskii·Alexander Ulanovskii
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Abstract

Given a compact set $S$ and a uniformly discrete sequence $\La$, we show that "approximate interpolation" of delta--functions on $\La$ by a bounded sequence of $L^2-$functions with spectra in $S$ implies an estimate on measure of $S$ through the density of $\La$.

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Alexander Olevskii, Alexander Ulanovskii. 2008-06-18. $L^2-$interpolation with error and size of spectra. https://arxiv.org/abs/0806.2916

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