Riesz bases of exponentials on multiband spectra

Details Riesz bases of exponentials on multiband spectra Riesz bases of exponentials on multiband spectra

2011-01-20

arxiv.org/abs/1101.3894v2

Mathematics

Functional Analysis

5 pages, to appear in Proceedings of the American Mathematical Society

Scientific paper

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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