Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35265| Title: | Riesz bases of exponentials for convex polytopes with symmetric faces |
| Author: | Debernardi, Alberto Lev, Nir |
| Keywords: | Riesz bases Sampling and interpolation Convex polytopes |
| Issue Date: | 2022 |
| Publisher: | EMS Press |
| Abstract: | We prove that for any convex polytope $\Omega\subset \mathbb{R}^d$ 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 $L^2(\Omega)$. The result is new in all dimensions $d$ greater than one. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/35265 |
| DOI: | 10.4171/JEMS/1158 |
| ISSN: | 1435-9855 |
| Publisher Version: | https://ems.press/content/serial-article-files/23857 |
| Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2022 A. Debernardi and N. Lev, Riesz bases of exponentials for complexpolytopes with symmetric faces.pdf | 241.36 kB | Adobe PDF | View/Open |
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