A set with no Riesz basis of exponentials

• Gady Kozma ^[1] ; Shahaf Nitzan ^[2] ; Alexander Olevskiǐ ^[3]
  1. [1] Weizmann Institute of Science

     Weizmann Institute of Science

     Israel

     
  2. [2] Georgia Institute of Technology

     Georgia Institute of Technology

     Estados Unidos

     
  3. [3] Tel Aviv University

     Tel Aviv University

     Israel

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 6, 2023, págs. 2007-2016
• Idioma: inglés
• DOI: 10.4171/RMI/1411
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• Resumen

  • 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