JournalsrmiVol. 39, No. 6pp. 2007–2016

A set with no Riesz basis of exponentials

  • Gady Kozma

    Weizmann Institute of Science, Rehovot, Israel

  • Shahaf Nitzan

    Georgia Institute of Technology, Atlanta, USA

  • Alexander 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