Discrete Translates in Lp (R)

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Date
2015-06-18MFO Scientific Program
Research in Pairs 2014Series
Oberwolfach Preprints;2015,09Author
Olevskij, Aleksandr M.
Ulanovskii, Alexander
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Show full item recordOWP-2015-09
Abstract
A set $\Lambda$ is called $p$-spectral if there is a function $g \in L^p (\mathbb{R})$ such that all $\Lambda$-translates $\{g(t-\lambda),\lambda \in \Lambda\}$ span $L^p(\mathbb{R})$. We prove that exponentially small non-zero pertubations of the integers are p-spectral for all $p>1$.