ℝ3中一类共线数字集自仿测度的谱性质

摘要

Using the feature of zero-point sets Z (^μM,D ),where^μM,D is the Fourier transform of self-affine measuresμM,D ,we discussed the spectrality and non-spectrality of the collinear digit set.We gave a method to deal with the spectrality and non-spectrality of self-affine measures with collinear case on ℝ3 .%利用自仿测度 Fourier 变换零点集的特点，研究共线数字集自仿测度的谱与非谱性质，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。