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arXiv · 2505.21310

Exponential Riesz bases in non-Archimedean locally compact Abelian groups

Aihua Fan·Shilei Fan
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Abstract

This paper establishes two fundamental results on the existence of exponential Riesz basis in non-Archimedean locally compact Abelian groups: the existence of Riesz basis of exponentials for all finite unions of balls and the non-existence of such basis for some bounded sets.

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Aihua Fan, Shilei Fan. 2025-05-27. Exponential Riesz bases in non-Archimedean locally compact Abelian groups. https://arxiv.org/abs/2505.21310

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