On the determinacy problem for measures

被引：0
|
作者：
Mishko Mitkovski
Alexei Poltoratski
机构：
[1] Clemson University,Department of Mathematical Sciences
[2] Texas A&M University,Department of Mathematics
来源：
Inventiones mathematicae | 2015年 / 202卷
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摘要：
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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页码：1241 / 1267
页数：26
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