On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform

2010 ◽  
Vol 18 (4) ◽  
Author(s):  
Venkateswaran P. Krishnan
Keyword(s):  
Inversion Formulas ◽  
Ray Transform ◽  
Geodesic Ray Transform

scholarly journals Sharp stability estimate for the geodesic ray transform

2020 ◽  
Vol 36 (2) ◽  
pp. 025013 ◽  
Author(s):  
Yernat M Assylbekov ◽  
Plamen Stefanov
Keyword(s):  
Stability Estimate ◽  
Ray Transform ◽  
Sharp Stability ◽  
Geodesic Ray Transform

scholarly journals Inverting the local geodesic ray transform of higher rank tensors

2019 ◽  
Vol 35 (11) ◽  
pp. 115009
Author(s):  
Maarten V de Hoop ◽  
Gunther Uhlmann ◽  
Jian Zhai
Keyword(s):  
Ray Transform ◽  
Higher Rank ◽  
Geodesic Ray Transform

Nonlocal inversion formulas for the X-ray transform

1989 ◽  
Vol 58 (1) ◽  
pp. 205-240 ◽  
Author(s):  
Allan Greenleaf ◽  
Gunther Uhlmann
Keyword(s):  
Inversion Formulas ◽  
X Ray ◽  
Ray Transform

scholarly journals Invariant distributions and the geodesic ray transform

2016 ◽  
Vol 9 (8) ◽  
pp. 1903-1930 ◽  
Author(s):  
Gabriel P. Paternain ◽  
Hanming Zhou
Keyword(s):  
Ray Transform ◽  
Invariant Distributions ◽  
Geodesic Ray Transform

scholarly journals A support theorem for the geodesic ray transform of symmetric tensor fields

2009 ◽  
Vol 3 (3) ◽  
pp. 453-464 ◽  
Author(s):  
Venkateswaran P. Krishnan ◽  
◽  
Plamen Stefanov ◽  
Keyword(s):  
Symmetric Tensor ◽  
Tensor Fields ◽  
Support Theorem ◽  
Ray Transform ◽  
Geodesic Ray Transform
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