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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…
Unique continuation results for certain generalized ray transforms of symmetric tensor fields
Divyansh Agrawal, Venkateswaran P. Krishnan, Suman Kumar Sahoo
Let denote the Euclidean ray transform acting on compactly supported symmetric -tensor field distributions , and be its formal adjoint. We study a u…
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…
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…