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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2490961
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