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math.AP2025
Range characterization of the ray transform on Sobolev spaces of symmetric tensor fields in two dimensions
Divyansh Agrawal, Venkateswaran P. Krishnan, Vladimir A. Sharafutdinov
The ray transform integrates a symmetric rank tensor field on over lines. In the case of , the range characterization of the operator on w…
math.DG2025
Two-dimensional Calderon problem and flat metrics
Vladimir A. Sharafutdinov
For a compact Riemannian manifold with boundary , the Diri\-chl\-et-to-Neumann operator is define…