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

作　　者：高桂宝[1,2] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]运城学院应用数学系,山西运城044000

出　　处：《吉林大学学报（理学版）》2014年第6期1125-1130,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171201);山西省自然科学基金(批准号:2013011003-1)

摘　　要：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 .

关 键 词：代函数系 自仿测度 共线数字集 谱测度 和谐对 

分 类 号：O174.2[理学—数学]