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arXiv · 2110.02090

A set with no Riesz basis of exponentials

Gady Kozma·Shahaf Nitzan·Alexander Olevskii
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Abstract

We show that there exists a bounded subset of R such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An additional result gives a lower bound for the Riesz constant of any putative Riesz basis of the two dimensional disk.

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Gady Kozma, Shahaf Nitzan, Alexander Olevskii. 2021-10-05. A set with no Riesz basis of exponentials. https://arxiv.org/abs/2110.02090

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