Determinacy for measures
Classical Analysis and ODEs
2014-06-03 v1 Complex Variables
Functional Analysis
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.
Cite
@article{arxiv.1406.0025,
title = {Determinacy for measures},
author = {Mishko Mitkovski and Alexei Poltoratski},
journal= {arXiv preprint arXiv:1406.0025},
year = {2014}
}