A general framework to deal with problems of integral geometry is provided by the recently developed theory of integral transforms for sheaves and D-modules. Our aim here is to illustrate such techniques by reconsidering the most classical example of integral transforms. Namely, the Radon hyperplane transform for smooth functions.
A topological obstruction for the real Radon transform
D'AGNOLO, ANDREA;MARASTONI, CORRADO
2001
Abstract
A general framework to deal with problems of integral geometry is provided by the recently developed theory of integral transforms for sheaves and D-modules. Our aim here is to illustrate such techniques by reconsidering the most classical example of integral transforms. Namely, the Radon hyperplane transform for smooth functions.
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