对数能量的傅立叶积分公式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-09 DOI:10.1007/s11118-024-10125-9

L. Frerick, J. Müller, T. Thomaser

引用次数: 0

摘要

建立了一个用度量的傅里叶变换来表示 \mathbb {R}^n\ 上的博雷尔度量的对数能量的公式，并给出了一些应用。此外，还利用类似的技术重新发明了（已知的）里兹能量公式。

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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A Fourier Integral Formula for Logarithmic Energy

A formula which expresses logarithmic energy of Borel measures on \(\mathbb {R}^n\) in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula for Riesz energy is reinvented.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.