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Spectral gaps for sets and measures

Alexei Poltoratski Department of Mathematics, Texas A&M University

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12002

Acta Mathematica, 208, (1), 151-209, 2009.8
If$X$is a closed subset of the real line, denote by$G$_{$X$}the supremum of the size of the gap in the Fourier spectrum of a measure, taken over all non-trivial finite complex measures supported on$X$. In this paper we attempt to find$G$_{$X$}in terms of$X$.
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@inproceedings{alexei2009spectral,
  title={Spectral gaps for sets and measures},
  author={Alexei Poltoratski},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203358203894752},
  booktitle={Acta Mathematica},
  volume={208},
  number={1},
  pages={151-209},
  year={2009},
}
Alexei Poltoratski. Spectral gaps for sets and measures. 2009. Vol. 208. In Acta Mathematica. pp.151-209. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203358203894752.
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