Szegö Limit Theorems on the Sierpiński Gasket

被引：0
|
作者：
Kasso A. Okoudjou
Luke G. Rogers
Robert S. Strichartz
机构：
[1] University of Maryland,Department of Mathematics
[2] University of Connecticut,Department of Mathematics
[3] Cornell University,Department of Mathematics, Malott Hall
来源：
Journal of Fourier Analysis and Applications | 2010年 / 16卷
关键词：
Analysis on fractals; Equally distributed sequences; Laplacian; Localized eigenfunctions; Sierpiński gasket; Strong Szegö limit theorem; 35P20; 28A80; 42C99; 81Q10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use the existence of localized eigenfunctions of the Laplacian on the Sierpiński gasket (SG) to formulate and prove analogues of the strong Szegö limit theorem in this fractal setting. Furthermore, we recast some of our results in terms of equally distributed sequences.
引用
收藏
页码：434 / 447
页数：13
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