Fourier decay for homogeneous self-affine measures

被引：2
|
作者：
Solomyak, Boris [1 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel
来源：
JOURNAL OF FRACTAL GEOMETRY | 2022年 / 9卷 / 1-2期
基金：
以色列科学基金会;
关键词：
Self-affine measure; Fourier decay; Erdos-Kahane method; SIMILAR SETS; BERNOULLI; FAMILY;
D O I：
10.4171/JFG/119
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that for Lebesgue almost all d-tuples (theta(1), ..., theta(d)), with vertical bar theta(j)vertical bar > 1, any self-affine measure for a homogeneous non-degenerate iterated function system {Ax + a(j)}(j=1)(m) in R-d, where A(-1) is a diagonal matrix with the entries. (theta(1), ..., theta(d)), has power Fourier decay at infinity.
引用
收藏
页码：193 / 206
页数：14
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