On the range of the $ X $-ray transform of symmetric tensors compactly supported in the plane

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-09-19 DOI:10.3934/ipi.2022070

K. Sadiq, A. Tamasan

引用次数: 3

Abstract

A BSTRACT . We ﬁnd the necessary and sufﬁcient conditions on the Fourier coefﬁcients of a function g on the torus to be in the range of the X -ray transform of a symmetric tensor of compact support in the plane.

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在平面上紧支撑的对称张量的X射线变换的范围

摘要。我们确定了环面上函数g的傅立叶系数在平面上紧支撑对称张量的X射线变换范围内的充要条件。

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

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.