New inversion formulas for Radon transforms on affine Grassmannians

DOI10.1016/j.jfa.2018.03.002zbMath1404.44005arXiv1610.02109OpenAlexW2964032109MaRDI QIDQ1707937

Yingzhan Wang, Boris Rubin

Publication date: 4 April 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02109

zbMATH Keywords

Radon transformsGrassmann manifoldsFunk transformErdélyi-Kober operators

Mathematics Subject Classification ID

Radon transform (44A12) Integral operators (47G10)

Related Items (4)

Norm estimates for \(k\)-plane transforms and geometric inequalities ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds ⋮ Strichartz's Radon transforms for mutually orthogonal affine planes and fractional integrals

Cites Work

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• Radon transform on real, complex, and quaternionic Grassmannians
• Integral Geometry and Radon Transforms
• Weighted norm inequalities for $k$-plane transforms
• On Radon transforms between lines and hyperplanes
• Harmonic Analysis on Grassmannian Bundles
• Radon transforms on affine Grassmannians
• On the Funk-Radon-Helgason Inversion Method in Integral Geometry
• A problem of integral geometry related to a triple of Grassmann manifolds

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