An analog of Chang inversion formula for weighted Radon transforms in multidimensions

被引：4
|
作者：
Goncharov, F. O. [1 ,2 ]
Novikov, R. G. [3 ,4 ]
机构：
[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia
[2] RAS, Inst Informat Transmiss Problems, Bolshoy Karetny Per 19,Buld 1, Moscow 127051, Russia
[3] Ecole Polytech, Ctr Math Appl, CNRS UMR 7641, F-91128 Palaiseau, France
[4] RAS, Inst Earthquake Predict Theory & Math Geophys, Moscow 117997, Russia
来源：
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2016年 / 4卷 / 02期
关键词：
weighted Radon transforms; inversion formulas;
D O I：
10.32523/2306-6172-2016-4-2-23-32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study weighted Radon transforms in multidimensions. We introduce an analog of Chang approximate inversion formula for such transforms and describe all weights for which this formula is exact. In addition, we indicate possible tomographical applications of inversion methods for weighted Radon transforms in 3D.
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页码：23 / 32
页数：10
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