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The generalized Saint Venant operator and integral moment transforms
Rohit Kumar Mishra, Suman Kumar Sahoo
In this article, we work with a generalized Saint Venant operator introduced by Vladimir Sharafutdinov to describe the kernel of the integral moment transforms over symmetric m-ten…
Injectivity and range description of first integral moment transforms over -tensor fields in
Rohit Kumar Mishra, Suman Kumar Sahoo
In this work, we prove a new decomposition result for rank symmetric tensor fields which generalizes the well known solenoidal and potential decomposition of tensor fields. Thi…
Determining the time dependent matrix potential in a wave equation from partial boundary data
Rohit Kumar Mishra, Manmohan Vashisth
We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge o…
Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in
Rohit Kumar Mishra
We show that a vector field in can be reconstructed uniquely from the knowledge of restricted Doppler and first integral moment transforms. The line complex we consi…
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature
Rohit Kumar Mishra, François Monard
For a one-parameter family of simple metrics of constant curvature ( for ) on the unit disk , we first make explicit the Pestov-Uhlmann range characterization o…
Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric -tensor fields
Venkateswaran P. Krishnan, Rohit Kumar Mishra, Suman Kumar Sahoo
We study the problem of inverting a restricted transverse ray transform to recover a symmetric -tensor field in using microlocal analysis techniques. More precise…