广义v线变换的张量层析成像 \(\mathbb {R}^2\)

IF 1.6 3区 数学 Q1 MATHEMATICS
Rahul Bhardwaj
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引用次数: 0

摘要

本文研究了\(\mathbb {R}^2\)中对称m张量场的一组广义v线变换,即纵向、混合和横向v线变换。本文的目标是通过对不同的数据集使用两种不同的技术,结合前面提到的广义v线变换,恢复在磁盘\(\mathbb {D}_R\)中支持的对称m张量场\({\textbf {{f}}}\),该场半径为R,以原点为中心。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Tensor tomography for a set of generalized V-line transforms in \(\mathbb {R}^2\)

We study a set of generalized V-line transforms, namely longitudinal, mixed, and transverse V-line transforms, of a symmetric m-tensor field in \(\mathbb {R}^2\). The goal of this article is to recover a symmetric m-tensor field \({\textbf {{f}}}\) supported in a disk \(\mathbb {D}_R\), with radius R and centered at the origin, by a combination of the aforementioned generalized V-line transforms, using two different techniques for different sets of data.

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来源期刊
Analysis and Mathematical Physics
Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.70
自引率
0.00%
发文量
122
期刊介绍: Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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