带状区域的 Fourier 拟晶体类似物
Analogues of Fourier quasicrystals for a strip
AI总结：
本文研究水平带状区域上单位质量离散测度，证明其支集与虚频率指数多项式零点集一一对应，并将其归入有界谱绝对收敛 Dirichlet 级数的一般框架。
摘要：
我们研究水平带状区域上一族具有单位质量的离散测度，作为实轴上 Fourier 拟晶体的类似物。我们证明了该族测度的支集与具有虚频率的指数多项式零点集之间存在一一对应。这一结果是关于测度的一般结果的特例：这些测度的支集对应于具有有界谱的绝对收敛 Dirichlet 级数的零点集。
英文摘要：
We study a certain family of discrete measures with unit masses on a horizontal strip as an analogue of Fourier quasicrystals on the real line. We prove a one-to-one correspondence between supports of measures from this family and zero sets of exponential polynomials with imaginary frequencies. This result is the special case of a general result on measures whose supports correspond to zero sets of absolutely convergent Dirichlet series with bounded spectrum.
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。
