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arXiv · 1907.04561

Riesz bases of exponentials for convex polytopes with symmetric faces

Alberto Debernardi·Nir Lev
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Abstract

We prove that for any convex polytope $Ω\subset \mathbb{R}^d$ 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 $L^2(Ω)$. The result is new in all dimensions $d$ greater than one.

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Alberto Debernardi, Nir Lev. 2020-04-06. Riesz bases of exponentials for convex polytopes with symmetric faces. https://doi.org/10.4171/jems%2F1158

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