We apply the theory of integral transforms for sheaves and D-modules to the study of the real Radon transform. By identifying abstract adjunction formulas with the explicit integral formulas appearing in the literature, we give, in particular, a cohomological interpretation of Gelfand’s Cavalieri condition, and of Helgason’s support theorem.
Radon transform and the Cavalieri condition: a cohomological approach
D'AGNOLO, ANDREA
1998
Abstract
We apply the theory of integral transforms for sheaves and D-modules to the study of the real Radon transform. By identifying abstract adjunction formulas with the explicit integral formulas appearing in the literature, we give, in particular, a cohomological interpretation of Gelfand’s Cavalieri condition, and of Helgason’s support theorem.
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