扩张矩阵的广义二进方体的一些性质  

Some Properties of General Dyadic Cubes Associated with an Expansive Matrix

作　　者：廖敏峰 李波 孙瑞瑞[1] 李宝德[1] Min Feng LIAO;Bo LI;Rui Rui SUN;Bao De LI(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,P.R.China)

机构地区：[1]新疆大学数学与系统科学学院

出　　处：《数学学报（中文版）》2018年第6期925-932,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11461065,11661075)

摘　　要：本文给出了A进方体满足嵌套性质的一个充分条件,得到了A进方体的一个覆盖定理,探讨了A进方体与相关于扩张矩阵A的Christ-二进方体的关系.We acquire a sufficient condition to guarantee the nesting property of the dilated cubes associated with an expansive matrix A. Second, we obtain a covering theorem about the dilated cubes. Finally, we discuss the relationship between the dilated cubes and Christ-dyadic cubes associated with an expansive matrix A.

关 键 词：各向异性 扩张矩阵 二进方体 

分 类 号：O151.21[理学—数学]