Nonspectrality of Certain Self-Affine Measures on R3

被引：0
|
作者：
Gao, Gui-Bao [1 ,2 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Yuncheng Univ, Appl Math Dept, Yuncheng 044000, Shanxi, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
DENSE ANALYTIC SUBSPACES; ORTHOGONAL EXPONENTIALS;
D O I：
10.1155/2014/294182
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We will determine the nonspectrality of self-affine measure mu(B,D) corresponding to B = diag[p(1), p(2), p(3)] (p(1) is an element of (2Z + 1) \ {+/- 1}, p(2) is an element of 2Z \ {0}), and D = {0, e(1), e(2), e(3)} in the space R-3 is supported on T(B, D), where e(1), e(2), and e(3) are the standard basis of unit column vectors in R-3, and there exist at most 4 mutually orthogonal exponential functions in L-2 (mu(B,D)), where the number 4 is the best. This generalizes the known results on the spectrality of self-affine measures.
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页数：9
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