Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2024; 61(2): 381-399

Online first article March 12, 2024      Printed March 31, 2024

https://doi.org/10.4134/BKMS.b230125

Copyright © The Korean Mathematical Society.

Fourier decay of Moran measure with quasi periodic sequence

Zong Sheng Liu

Hengyang Normal University

Abstract

In this paper, we introduce a class of Moran measures generated by quasi periodic sequences, and consider power decay of the Fourier transforms of this kind of measures.

Keywords: Fourier transform, Fourier decay, Moran measure

MSC numbers: Primary 28A80; Secondary 42A16, 60G18

Supported by: The research is supported in part by the Hunan Provincial Department of Education (22B0710) and Hengyang Normal University (2020QD19).