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• W1661514945 abstract "Integral geometry deals with those integral transforms which associate to ``functions'' on a manifold their integrals along submanifolds parameterized by another manifold. Basic problems in this context are range characterization--where systems of PDE appear--and inversion formulae. As we pointed out in a series of joint papers with Pierre Schapira, the language of sheaves and D-modules provides both a natural framework and powerful tools for the study of such problems. In particular, it provides a general adjunction formula which is a sort of archetypical theorem in integral geometry. Focusing on range characterization, we illustrate this approach with a discussion of the Radon transform, in some of its manifold manifestations." @default.
• W1661514945 created "2016-06-24" @default.
• W1661514945 creator A5063806290 @default.
• W1661514945 date "2000-01-01" @default.
• W1661514945 modified "2023-09-27" @default.
• W1661514945 title "Sheaves and 𝒟-modules in integral geometry" @default.
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• W1661514945 doi "https://doi.org/10.1090/conm/251/03866" @default.
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