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arXiv · 1406.0025

Determinacy for measures

Mishko Mitkovski·Alexei Poltoratski
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Abstract

We study the general moment problem for measures on the real line, with polynomials replaced by more general spaces of entire functions. As a particular case, we describe measures that are uniquely determined by a restriction of their Fourier transform to a finite interval. We apply our results to prove an extension of a theorem by Eremenko and Novikov on the frequency of oscillations of measures with a spectral gap (high-pass signals) near infinity.

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Mishko Mitkovski, Alexei Poltoratski. 2014-05-30. Determinacy for measures. https://arxiv.org/abs/1406.0025

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