| Abstract: |
| I will discuss machinery used to study both singularly weighted X-ray transforms on strictly convex manifolds with boundary (such as the Euclidean disk) as well as some degenerately elliptic differential operators associated to such transforms. Such machinery includes a scale of Sobolev spaces which take into account behavior up to the boundary, as well as generalizations of Dirichlet and Neumann traces called boundary triplets associated to degenerately elliptic operators which pick out the first and second most singular terms of a function near the boundary. Joint work with Fran\c{c}ois Monard. |
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