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.

引用

页码：1095 / 1102

页数：8

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