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arXiv · 1101.3894

Riesz bases of exponentials on multiband spectra

Nir Lev
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Abstract

Let $S$ be the union of finitely many disjoint intervals on the real line. Suppose that there are two real numbers $\alpha, \beta$ such that the length of each interval belongs to $Z \alpha + Z \beta$. We use quasicrystals to construct a discrete set of real frequencies such that the corresponding system of exponentials is a Riesz basis in the space $L^2(S)$.

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Nir Lev. 2011-01-20. Riesz bases of exponentials on multiband spectra. https://doi.org/10.1090/s0002-9939-2012-11138-4

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