ℝ3中共线数字集自仿测度的谱性质

摘要

利用自仿测度Fourier变换的零点集特点，研究共线数字集自仿测度的谱与非谱性质，并给出一种判定ℝ3中共线数字集自仿测度的谱与非谱性质的方法。%Using the feature of zero-point sets of the Fourier transform of self-affine measures,we discussed the spectrality and non-spectrality of the collinear digit set and gave a method to judge the spectrality and non-spectrality with collinear case on ℝ3 .