Radon transform and the Cavalieri condition: A cohomological approach

DOI10.1215/S0012-7094-98-09321-8zbMath0978.58010OpenAlexW125328539MaRDI QIDQ1974825

Andrea D'Agnolo

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09321-8

zbMATH Keywords

integral geometry\({\mathcal D}\)-modulesreal affine Radon transform

Mathematics Subject Classification ID

Radon transform (44A12) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Sheaves of differential operators and their modules, (D)-modules (32C38) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (2)

Reconstruction of functions from their integrals over \(k\)-planes ⋮ Real forms of the Radon-Penrose transform

Cites Work

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• The Riemann-Hilbert problem for holonomic systems
• The Radon transform
• Integral geometry in affine and projective spaces
• Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials
• Differential equations and integral geometry
• Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case
• Radon transform of hyperfunctions and support theorem
• Leray's quantization of projective duality
• Radon-Penrose transform for \({\mathcal D}\)-modules
• Une interprétation cohomologique de la condition de Radon—Cavalieri
• Moderate and formal cohomology associated with constructible sheaves
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)

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