Differential equations and integral geometry

DOI10.1006/aima.1997.1669zbMath0931.53038OpenAlexW2022585403WikidataQ115396404 ScholiaQ115396404MaRDI QIDQ1376314

Alexander B. Goncharov

Publication date: 23 February 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fec7688ff538b27a1b1f3bec5008f5aad696a4b9

zbMATH Keywords

integral geometry\({\mathcal D}\)-modulesfamily of spheresGreen classlinear system of PDE

Mathematics Subject Classification ID

Integral geometry (53C65) Linear higher-order PDEs (35G05)

Related Items

Reconstruction of functions from their integrals over \(k\)-planes ⋮ Hecke operators and analytic Langlands correspondence for curves over local fields ⋮ Andreotti-Norguet correspondence and \(\mathcal D\)-modules ⋮ Radon transform and the Cavalieri condition: A cohomological approach ⋮ Notes on Motives in Finite Characteristic ⋮ The quantum dilogarithm and representations of quantum cluster varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\)
• The Radon transform
• Nonlocal inversion formulas in a problem of integral geometry related to p-dimensional planes in real projective space
• Integral geometry and \(D\)-modules
• Leray's quantization of projective duality
• Radon-Penrose transform for \({\mathcal D}\)-modules
• Integral geometry on k-dimensional planes
• Integral geometry and manifolds of minimal degree in \({\mathbb{C}}{\mathbb{P}}^ n\)
• Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
• Une interprétation cohomologique de la condition de Radon—Cavalieri
• Moderate and formal cohomology associated with constructible sheaves
• Produits tensoriels topologiques et espaces nucléaires