DECAY OF FOURIER COEFFICIENTS FOR FURSTENBERG MEASURES

被引：0
|
作者：
Dinh, Tien-Cuong [1 ]
Kaufmann, Lucas [2 ,3 ]
Wu, Hao [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, 10 Lower Kent Ridge Rd, Singapore 119076, Singapore
[2] Inst Basic Sci IBS, Ctr Complex Geometry, 55, Expo ro, Daejeon 34126, South Korea
[3] Univ Orleans, Inst Denis Poisson, CNRS, Rue Chartres BP 6759, F-45067 Orleans 02, France
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 376卷 / 10期
关键词：
Random walks on Lie groups; random matrices; Fourier coefficients; Rajchman measures; renewal operators; RANDOM-WALKS; THEOREM;
D O I：
10.1090/tran/8882
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let  be the Furstenberg measure associated with a non-elementary probability measure & mu; on SL2(R). We show that, when & mu; has a finite second moment, the Fourier coefficients of  tend to zero at infinity. In other words,  is a Rajchman measure. This improves a recent result of Jialun Li.
引用
收藏
页码：6873 / 6926
页数：54
相关论文
共 50 条
12345