R^3中一类共线数字集自仿测度的谱性质

Spectrality of Self-affine Measures with a Collinear Digit Set on R^3

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.

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 R^3 .