Cantor型测度谱的标度性及一些数论考虑
Scaling of spectra of Cantor-type measures and some number theoretic considerations
摘要：
本文研究了与康托尔集的调和分析有关的谱测度与数论之间的关系。具体来说，我们探索的方法来确定当一个奇数自然数$m$产生一个完整的或不完整的康托型测量尺度$g$的傅立叶基。
英文摘要：
We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number $m$ generates a complete or incomplete Fourier basis for a Cantor-type measure with scale $g$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
