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 |
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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
Funding Information:Funding. Research supported by ISF Grants No. 447/16 and No. 227/17 and ERC Starting Grant No. 713927.
Publisher Copyright:
© 2022 European Mathematical Society Publishing House. All rights reserved.
Keywords
- Riesz bases
- convex polytopes
- sampling and interpolation