Countable unions of intervals without Riesz spectra
We prove that every set $S = \bigcup_{n \geq 0} [ t_{2 n + 1} , t_{2 n} )$, where $t_0 > t_1 > \cdots > 0$ and $t_n \to 0$, admits no Riesz spectrum. This extends the result of Kozma, Nitzan, and Olevskii \cite{KNO} to a wide class of countable unions of intervals.
Authors
- Dae Gwan Lee (ORCID: https://orcid.org/0000-0002-0991-738X)
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-29
- DOI
- https://doi.org/10.48550/arxiv.2610.40400
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- preprint