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- W2089343118 abstract "Dans cette Note, nous appliquons les méthodes des transformations intégrales pour les faisceaux et les D-modules à l'étude de la transformée de Radon affine réelle. Classiquement, on obtient la « condition de Cavalieri å en utilisant la formule d'inversion pour la transformée de Fourier. Notre approche est différente, et montre comment cette condition, liée à la transformée de Radon projective complexe, est de nature géométrique (ou cohomologique). In this Note, we apply the methods of integral transforms for sheaves and D-modules to the study of the real affine Radon transform. Classically, the “Cavalieri condition” is obtained using the inversion formula for the Fourier transform. Our approach is different and shows how this condition, which is related to the complex projective Radon transform, is of a geometrical (or cohomological) nature. Note présentée par Jean-Michel Bony." @default.
- W2089343118 created "2016-06-24" @default.
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- W2089343118 date "1997-01-01" @default.
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- W2089343118 title "Une interprétation cohomologique de la condition de Radon—Cavalieri" @default.
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- W2089343118 doi "https://doi.org/10.1016/s0764-4442(97)80097-3" @default.
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