Abstract
A bounded measurable set , of Lebesgue measure 1, in the real line is called spectral if there is a set of real numbers (“frequencies”) such that the exponential functions , , form a complete orthonormal system of . Such a set is called a spectrum of . In this note we prove that any spectrum of a bounded measurable set must be periodic.
Citation
Alex Iosevich. Mihal N. Kolountzakis. "Periodicity of the spectrum in dimension one." Anal. PDE 6 (4) 819 - 827, 2013. https://doi.org/10.2140/apde.2013.6.819
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