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arXiv · 0908.2079

Spectral gaps for sets and measures

A. Poltoratski
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Abstract

If $X$ is a closed subset of the real line, denote by $\GG_X$ the supremum of the size of the gap in the Fourier spectrum, taken over all non-trivial finite complex measures supported on $X$. In this paper we attempt to find $\GG_X$ in terms of metric properties of $X$.

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A. Poltoratski. 2009-08-20. Spectral gaps for sets and measures. https://arxiv.org/abs/0908.2079

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