Spectrality of the product does not imply that the components are spectral
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- 15 January 2026
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 154 (3) , 1073-1076
Abstract
Greenfeld and Lev [J. Anal. Math., 16 (2020), 409–441] conjectured that the Cartesian product of two sets A A and B B is spectral if and only if A A and B B are spectral. We construct a counterexample to this conjecture using the existence of a tile that has no spectra.Keywords
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Funding Information
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal (K138596)
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal (15057)
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