A remark on the average decay of Fourier transform for regular measures

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2025-10-13 DOI:10.1007/s10474-025-01564-w

J. Li, S. Luo, Z. Wu

引用次数: 0

Abstract

We obtain the estimates from below and above for the average decay of Fourier transform of \((\alpha_1,\alpha_2)\)-Ahlfors regular measure. As an application, we obtain the upper bound of Beurling dimension of frame spectra for a class of Moran measures.

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正则测度傅里叶变换的平均衰减

我们得到了\((\alpha_1,\alpha_2)\) -Ahlfors正则测度的傅里叶变换平均衰减的估计。作为应用，我们得到了一类Moran测度的框架谱的Beurling维数的上界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.