A sharp sufficient condition for mobile sampling in terms of surface density

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Harmonic Analysis Pub Date : 2024-05-23 DOI:10.1016/j.acha.2024.101670

Benjamin Jaye , Mishko Mitkovski , Manasa N. Vempati

引用次数: 0

Abstract

We provide a surface density threshold to guarantee mobile sampling in terms of the surface density of the set. This threshold is sharp if the Fourier transform is supported in either a ball or a cube, and further examples in the two-dimensional case where the result is sharp are given.

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从表面密度看移动采样的充分条件

我们提供了一个表面密度阈值，以保证根据集合的表面密度进行移动采样。如果傅立叶变换在球或立方体中得到支持，那么这个阈值就会很尖锐，我们还给出了二维情况下结果很尖锐的例子。

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.