具有中心康托集值域的纯原子有限测度的唯一性刻画
A characterization of uniqueness of purely atomic finite measures with central Cantor set range
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中文总结 AI 辅助
该研究刻画了值域为中心康托集的纯原子有限测度的唯一性，推广到对称康托集并对康托尔集值域测度的恢复做初步探讨。
中文摘要 AI 辅助
我们研究值域为中心康托集的纯原子测度，刻画恰好是一个此类测度值域的中心康托集；接着采用不同的证明方法将该刻画推广到对称康托集的情形；最后对恢复值域为康托尔集的测度提出若干初步观察与注记。
英文摘要
We study purely atomic measures whose range is a central Cantor set and characterize those central Cantor sets that are the range of exactly one such measure. Next, we extend the characterization to the case of symmetric Cantor sets using a different method of proof. Finally, we make a few initial observations and remarks on recovering a measure whose range is a Cantorval.
