The article studies mapping properties of Radon transform and backprojection on a unit ball.
arXiv research
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Study X-ray transform on manifolds, desingularize, and improve mapping properties.
We define compactifications of vector spaces which are functorial with respect to certain linear maps. These "many-body" compactifications are manifolds with corners, and the linear maps lift to b-maps in the sense of Melrose. We derive a simple criterion under which the lifted maps are in fact b-fibrations, and identi…
For a compact manifold with boundary we introduce the -fold scattering stretched product which is a compact manifold with corners for each coinciding with the previously known cases for It is constructed by iterated blow up of boundary faces and boundary faces of multi-diagonals i…