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arXiv · 1912.10665

On Szeg\"{o}--Kolmogorov Prediction Theorem

Alexander Olevskii·Alexander Ulanovskii
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Abstract

The classical Szeg\"{o}--Kolmogorov Prediction Theorem gives necessary and sufficient condition on a weight $w$ on the unite cirlce $T$ so that the exponentials with positive integer frequences span the weighted space $L^2(T,w)$. We consider the problem how many of these exponentials can be removed while still keeping the completeness property.

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Alexander Olevskii, Alexander Ulanovskii. 2019-12-23. On Szeg\"{o}--Kolmogorov Prediction Theorem. https://arxiv.org/abs/1912.10665

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