Inversion formulas and range characterizations for the attenuated geodesic ray transform-Reference-Cited by-同舟云学术

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Inversion formulas and range characterizations for the attenuated geodesic ray transform

Published:2018-03 Issue: Volume:111 Page:161-190
ISSN:0021-7824
Container-title:Journal de Mathématiques Pures et Appliquées
language:en
Short-container-title:Journal de Mathématiques Pures et Appliquées

Author:

Assylbekov Yernat M.,Monard François,Uhlmann Gunther

Funder

NSF

Walker Family Professorship

FiDiPro Professorship

Si-Yuan Professorship

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference36 articles.

1. On the range of the attenuated magnetic ray transform for unitary connections and Higgs fields;Ainsworth;Inverse Probl. Imaging,2015

2. Novikov's inversion formula for the attenuated Radon transform, a new approach;Boman;J. Geom. Anal.,2004

3. The boundary rigidity problem in the presence of a magnetic field;Dairbekov;Adv. Math.,2007

4. Reconstructing the metric and magnetic field from the scattering relation;Dairbekov;Inverse Probl. Imaging,2010

5. Smooth compactly supported solutions of some underdetermined elliptic PDE, with gluing applications;Delay;Commun. Partial Differ. Equ.,2012

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2. The Transport Oka-Grauert principle for simple surfaces;Journal de l’École polytechnique — Mathématiques;2023-05-04

3. Geometric Inverse Problems;CAM ST AD M;2023-01-05

4. On the range of the <inline-formula><tex-math id="M1">$ X $</tex-math></inline-formula>-ray transform of symmetric tensors compactly supported in the plane;Inverse Problems and Imaging;2023

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