二维动量多普勒变换的反演
偏微分方程分析
2024-05-22 v2
摘要
我们引入一种解析方法，可由一个（充分）光滑、实值、在平面上紧支撑的向量场的多普勒变换及其一阶矩多普勒变换稳定地重建该向量场的两个分量。证明方法是构造性的。数值反演结果表明该方法具有鲁棒性。
引用
@article{arxiv.2307.10758,
title = {Inversion of the Momenta Doppler Transform in two dimensions},
author = {Hiroshi Fujiwara and David Omogbhe and Kamran Sadiq and Alexandru Tamasan},
journal= {arXiv preprint arXiv:2307.10758},
year = {2024}
}
备注
This manuscript has been superseded by the arXiv manuscript arXiv:2309.00499