Spectral self-affine measures on the spatial Sierpinski gasket

被引：13
|
作者：
Li, Jian-Lin [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2015年 / 176卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Iterated function system; Self-affine measure; Orthogonal exponentials; Spectrality; DENSE ANALYTIC SUBSPACES; FRACTAL L-2-SPACES;
D O I：
10.1007/s00605-014-0725-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The self-affine measure corresponding to a diagonal matrix with entries and in the space is supported on the three-dimensional Sierpinski gasket, where are the standard basis of unit column vectors in . In this paper we determine the spectrality of for certain and . The results here generalize the corresponding results on the spectrality of self-affine measures.
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页码：293 / 322
页数：30
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