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Cantor uniqueness and multiplicity along subsequences
St. Petersburg Mathematical Journal ( IF 0.8 ) Pub Date : 2021-03-02 , DOI: 10.1090/spmj/1647 G. Kozma , A. Olevskiĭ
St. Petersburg Mathematical Journal ( IF 0.8 ) Pub Date : 2021-03-02 , DOI: 10.1090/spmj/1647 G. Kozma , A. Olevskiĭ
Abstract:We construct a sequence 
such that the trigonometric series 
converges to zero everywhere on a subsequence 
. We show, for any such series, that the 
must be very sparse, and that the support of the related distribution must be quite large.
中文翻译：
子序列的Cantor唯一性和多重性
摘要：我们构造了一个序列，使得三角序列在子序列上的各处都收敛为零。对于任何这样的系列，我们都表明，必须非常稀疏，并且相关分布的支持必须很大。
更新日期：2021-03-04
such that the trigonometric series converges to zero everywhere on a subsequence . We show, for any such series, that the must be very sparse, and that the support of the related distribution must be quite large. 中文翻译：
子序列的Cantor唯一性和多重性
摘要：我们构造了一个序列，使得三角序列在子序列上的各处都收敛为零。对于任何这样的系列，我们都表明，必须非常稀疏，并且相关分布的支持必须很大。
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