Work

Spectrality of the product does not imply that the components are spectral

Year: 2026

Type: article

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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17462

Author: Gábor Somlai

Institutions: Eötvös Loránd University, HUN-REN Alfréd Rényi Institute of Mathematics, The University of Melbourne

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal

Awards: G5132086090, G6567226697