Range theorems and inversion formulas for Radon transforms on Grassmann manifolds

DOI10.3792/pjaa.73.89zbMath0914.53037OpenAlexW1968310304MaRDI QIDQ1385026

Tomoyuki Kakehi

Publication date: 15 June 1999

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.89

zbMATH Keywords

Radon transforminversion formulaGrassmann manifoldintegral geometry

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Integral geometry (53C65)

Related Items (2)

Integral geometry on Grassmann manifolds and calculus of invariant differential operators ⋮ Integral geometry on discrete Grassmannians in \(\mathbb{Z}^n\)

Cites Work

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• Radon transforms on higher rank Grassmannians
• On images of Radon transforms
• Radon transforms on Grassmann manifolds
• Integral geometry on Grassmann manifolds and calculus of invariant differential operators
• Range characterization of Radon transforms on complex projective spaces
• Range characterization of Radon transforms on \(S^ n\) and \(P^ n\mathbb{R}\)
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds

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