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Title: Riesz bases of exponentials for convex polytopes with symmetric faces
Author: Debernardi, Alberto
Lev, Nir
Keywords: Riesz bases
Sampling and interpolation
Convex polytopes
Issue Date: 2022
Publisher: EMS Press
Abstract: We prove that for any convex polytope $\Omega\subset \mathbb{R}^d$ 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 $L^2(\Omega)$. The result is new in all dimensions $d$ greater than one.
Peer review: yes
DOI: 10.4171/JEMS/1158
ISSN: 1435-9855
Publisher Version:
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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