Abstract
We prove that for any convex polytope Ω c Rd which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space L2.Ω/. The result is new in all dimensions d greater than one.
| Original language | English |
|---|---|
| Pages (from-to) | 3017-3029 |
| Number of pages | 13 |
| Journal | Journal of the European Mathematical Society |
| Volume | 24 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2022 European Mathematical Society Publishing House. All rights reserved.
Funding
Funding. Research supported by ISF Grants No. 447/16 and No. 227/17 and ERC Starting Grant No. 713927.
| Funders | Funder number |
|---|---|
| Horizon 2020 Framework Programme | 713927 |
| European Commission | |
| Israel Science Foundation | 227/17, 447/16 |
Keywords
- Riesz bases
- convex polytopes
- sampling and interpolation