A set with no Riesz basis of exponentials
Gady Kozma
Weizmann Institute of Science, Rehovot, IsraelShahaf Nitzan
Georgia Institute of Technology, Atlanta, USAAlexander Olevskii
Tel Aviv University, Israel
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Abstract
We show that there exists a bounded subset of 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.
Cite this article
Gady Kozma, Shahaf Nitzan, Alexander Olevskii, A set with no Riesz basis of exponentials. Rev. Mat. Iberoam. 39 (2023), no. 6, pp. 2007–2016
DOI 10.4171/RMI/1411