Riesz bases of exponentials for convex polytopes with symmetric faces
We prove that for any convex polytope in arbitrary dimensions 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 greater than one.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:288472 |
| Online Access: | https://ddd.uab.cat/record/288472 https://dx.doi.org/urn:doi:10.4171/JEMS/1158 |
| Access Level: | Open access |
| Keyword: | Riesz bases Sampling and interpolation Convex polytopes |
| Summary: | We prove that for any convex polytope in arbitrary dimensions 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 greater than one. |
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