Unique Continuation for the Momentum Ray Transform

被引：0
|
作者：
Ilmavirta, Joonas [1 ]
Kow, Pu-Zhao [2 ]
Sahoo, Suman Kumar [3 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla, Finland
[2] Natl Chengchi Univ, Dept Math Sci, Taipei, Taiwan
[3] Indian Inst Technol, Dept Math, Mumbai, India
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2025年 / 31卷 / 02期
基金：
欧洲研究理事会; 芬兰科学院;
关键词：
Ray transform; Tensor tomography; Antilocality property; Unique continuation property (UCP); Fractional Laplacian; Fractional elliptic operator; Saint Venant operator; RECONSTRUCTION; BEAM;
D O I：
10.1007/s00041-025-10149-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator. Specifically, we demonstrate a conservative property for momentum ray transforms acting on tensors, as well as the antilocality property for both weighted ray and cone transforms acting on functions.
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页数：30
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