Orthogonal exponentials on the generalized plane Sierpinski gasket

被引：33
|
作者：
Li, Jian-Lin [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
JOURNAL OF APPROXIMATION THEORY | 2008年 / 153卷 / 02期
关键词：
iterated function system; self-affine measure; orthogonal exponentials; plane Sierpinski gasket;
D O I：
10.1016/j.jat.2008.01.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The self-affine measure mu M-p.D corresponding to [GRAPHICS] supported on the the generalized plane Sierpinski gasket T(M-p, D). In the present paper we show that there exist at most 3.mutually orthogonal exponential functions in L-2(mu M-p,M- D), and the number 3 is the best. This generalizes several known results on the non-spectral self-affine measure problem. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：161 / 169
页数：9
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