ON SUMS OF SEMIBOUNDED CANTOR SETS
ON SUMS OF SEMIBOUNDED CANTOR SETS
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DOI：
10.1216/rmj.2023.53.737
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发表时间：
2022-06
影响因子：
0.8
通讯作者：
J. Fillman;Sara H. Tidwell
中科院分区：
文献类型：
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作者：
J. Fillman;Sara H. Tidwell
受非周期阶模型谱理论研究中出现的问题的启发，我们研究了真实的直线的半有界闭子集的函数和。我们表明，在适当的厚度假设的集合和增长假设的功能，这样的集合的总和包含半线。我们还举例说明我们的标准在合适的制度下是尖锐的。
Motivated by questions arising in the study of the spectral theory of models of aperiodic order, we investigate sums of functions of semibounded closed subsets of the real line. We show that under suitable thickness assumptions on the sets and growth assumptions on the functions, the sums of such sets contain half-lines. We also give examples to show our criteria are sharp in suitable regimes.