Spectral gaps for sets and measures

Details Spectral gaps for sets and measures Spectral gaps for sets and measures

2009-08-14

arxiv.org/abs/0908.2079v2

Mathematics

Complex Variables

Scientific paper

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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