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