Riesz bases of exponentials and the Bohr topology

Published 30 Jan 2020 in math.CA and math.FA | (2001.11563v1)

Abstract: We provide a necessary and sufficient condition to ensure that a multi-tile $\Omega$ of $R^d$ of positive measure (but not necessarily bounded) admits a structured Riesz basis of exponentials for $ L^{2}(\Omega )$. New examples are given and this characterization is generalized to abstract locally compact abelian groups.

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