Abstract
We proved recently that a measure on ℝ, whose support and spectrum are both uniformly discrete sets, must have a periodic structure. Here we show that this is not the case if the support and the spectrum are just discrete closed sets.
| Original language | English |
|---|---|
| Pages (from-to) | 1341-1352 |
| Number of pages | 12 |
| Journal | Revista Matematica Iberoamericana |
| Volume | 32 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© European Mathematical Society.
Funding
Both authors are partially supported by their respective Israel Science Foundation grants.
| Funders | Funder number |
|---|---|
| Israel Science Foundation |
Keywords
- Cut-and-project
- Model set
- Poisson summation formula
- Quasicrystals