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math.AP2018
Microlocal analysis of a restricted ray transform on symmetric -tensor fields in
Venkateswaran P. Krishnan, Rohit Kumar Mishra
We study the microlocal inversion of the ray transform on symmetric -tensor fields restricted to all lines passing through a curve in . From this incomplete data…
math.DG2018
On solenoidal-injective and injective ray transforms of tensor fields on surfaces
Venkateswaran P. Krishnan, Rohit Kumar Mishra, François Monard
We first give a constructive answer to the attenuated tensor tomography problem on simple surfaces. We then use this result to propose two approaches to produce vector-valued integ…