Spectrality of the product does not imply that the components are spectral
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916519559036928 |
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| author | Somlai, Gábor |
| author_facet | Somlai, Gábor |
| contents | Greenfeld and Lev conjectured that the Cartesian product of two sets $A$ and $B$ is spectral if and only if $A$ and $B$ are spectral. We construct a counterexample to this fact using the existence of a tile that has no spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19138 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectrality of the product does not imply that the components are spectral Somlai, Gábor Classical Analysis and ODEs Greenfeld and Lev conjectured that the Cartesian product of two sets $A$ and $B$ is spectral if and only if $A$ and $B$ are spectral. We construct a counterexample to this fact using the existence of a tile that has no spectra. |
| title | Spectrality of the product does not imply that the components are spectral |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2410.19138 |