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arXiv · 2504.05487

A note on characterized and statistically characterized subgroups of $\mathbb{T}=\mathbb{R}/\mathbb{Z}$

Hans Weber
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Abstract

P. Das, A. Ghosh and T. Aziz has given in \cite[Theorem 3.15]{ADG} a result on statistically characterized subgroups of the circle group $\mathbb{R}/\mathbb{Z}$, which answers, together with \cite[Corollary 2.4]{DG24}, questions of \cite{DDB} and \cite{DG25}. Here we give a completely different and much shorter proof of these results.

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Hans Weber. 2025-04-07. A note on characterized and statistically characterized subgroups of $\mathbb{T}=\mathbb{R}/\mathbb{Z}$. https://arxiv.org/abs/2504.05487

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