GEODESIC RAY TRANSFORM WITH MATRIX WEIGHTS FOR PIECEWISE CONSTANT FUNCTIONS

被引：1
|
作者：
Ilmavirta, Joonas [1 ]
Railo, Jesse [1 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, FI-40014 Jyvaskyla, Finland
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2020年 / 45卷
基金：
芬兰科学院;
关键词：
Geodesic ray transform; matrix weight; integral geometry; inverse problems; CONNECTIONS;
D O I：
10.5186/aasfm.2020.4558
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transform is weighted by a continuous matrix weight. The manifold is assumed to be compact and nontrapping of any dimension, and in dimension three and higher we assume a foliation condition. We make no assumption regarding conjugate points or differentiability of the weight. This extends recent results for unweighted transforms.
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页码：1095 / 1102
页数：8
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