吉林大学学报（理学版）Issue(6)：1125-1130,6.DOI:10.13413/j.cnki.jdxblxb.2014.06.04
ℝ3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 ℝ3
摘要
Abstract
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 .关键词
代函数系/自仿测度/共线数字集/谱测度/和谐对Key words
iterated function system(IFS)/self-affine measure/collinear digit set/spectral measure/compatible pair分类
数理科学引用本文复制引用
高桂宝..ℝ3中一类共线数字集自仿测度的谱性质[J].吉林大学学报（理学版）,2014,(6):1125-1130,6.基金项目
国家自然科学基金(批准号:11171201)和山西省自然科学基金(批准号:2013011003-1) （批准号:11171201）
