Abstract
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.
Citation
Alexei Poltoratski. "Spectral gaps for sets and measures." Acta Math. 208 (1) 151 - 209, 2012. https://doi.org/10.1007/s11511-012-0076-4
Information
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
