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복소기하학연구단
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DECAY OF FOURIER COEFFICIENTS FOR FURSTENBERG MEASURES

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Title
DECAY OF FOURIER COEFFICIENTS FOR FURSTENBERG MEASURES
Author(s)
Dinh, Tien-Cuong; Lucas Kaufmann; Wu, Hao
Publication Date
2023-07
Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.376, no.10, pp.6873 - 6926
Publisher
AMER MATHEMATICAL SOC
Abstract
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.
URI
https://pr.ibs.re.kr/handle/8788114/14757
DOI
10.1090/tran/8882
ISSN
0002-9947
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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