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

页码：6873 / 6926

页数：54

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