We prove that for any convex polytope 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 . The result is new in all dimensions greater than one.
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Alberto Debernardi, Nir Lev, Riesz bases of exponentials for convex polytopes with symmetric faces. J. Eur. Math. Soc. 24 (2022), no. 8, pp. 3017–3029DOI 10.4171/JEMS/1158