Beurling dimension of spectra for a class of random convolutions on R2

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Harmonic Analysis Pub Date : 2024-07-03 DOI:10.1016/j.acha.2024.101683

Jinjun Li, Zhiyi Wu

引用次数: 0

Abstract

It is usually difficult to study the structure of the spectra for the measures in $R^{2}$ and higher dimensions. In this paper, by employing the projective techniques and our previous results on the line we prove that the Beurling dimension of spectra for a class of random convolutions in $R^{2}$ satisfies an intermediate value property.

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R2 上一类随机卷积光谱的贝林维度

通常很难研究 R2 和更高维度中度量的谱结构。在本文中，我们利用投影技术和之前关于线的结果，证明了 R2 中一类随机卷积的谱的贝林维度满足中间值性质。

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

Applied and Computational Harmonic Analysis 物理-物理：数学物理

CiteScore

5.40

自引率

4.00%

发文量

审稿时长

22.9 weeks

期刊介绍： Applied and Computational Harmonic Analysis (ACHA) is an interdisciplinary journal that publishes high-quality papers in all areas of mathematical sciences related to the applied and computational aspects of harmonic analysis, with special emphasis on innovative theoretical development, methods, and algorithms, for information processing, manipulation, understanding, and so forth. The objectives of the journal are to chronicle the important publications in the rapidly growing field of data representation and analysis, to stimulate research in relevant interdisciplinary areas, and to provide a common link among mathematical, physical, and life scientists, as well as engineers.