A note on characterized and statistically characterized subgroups of T=R/Z

Abstract

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

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