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2012 Spectral gaps for sets and measures
Alexei Poltoratski
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Acta Math. 208(1): 151-209 (2012). DOI: 10.1007/s11511-012-0076-4


If X is a closed subset of the real line, denote by GX 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 GX in terms of X.


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Alexei Poltoratski. "Spectral gaps for sets and measures." Acta Math. 208 (1) 151 - 209, 2012.


Received: 31 August 2009; Revised: 7 January 2011; Published: 2012
First available in Project Euclid: 31 January 2017

zbMATH: 1245.42008
MathSciNet: MR2910798
Digital Object Identifier: 10.1007/s11511-012-0076-4

Rights: 2012 © Institut Mittag-Leffler

Vol.208 • No. 1 • 2012
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