Exponential Riesz bases in non-Archimedean locally compact Abelian groups
Classical Analysis and ODEs
2025-05-30 v2
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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Cite
@article{arxiv.2505.21310,
title = {Exponential Riesz bases in non-Archimedean locally compact Abelian groups},
author = {Aihua Fan and Shilei Fan},
journal= {arXiv preprint arXiv:2505.21310},
year = {2025}
}
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15 pages