Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds

DOI10.1016/j.aim.2005.02.009zbMath1095.44002arXivmath/0404036OpenAlexW2054992802MaRDI QIDQ2369021

Tomoyuki Kakehi, Fulton B. Gonzalez

Publication date: 28 April 2006

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

Full work available at URL: https://arxiv.org/abs/math/0404036

zbMATH Keywords

Radon transformsupport theoremGrassmannianmoment condition

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12)

Related Items (6)

Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds ⋮ The Radon transform for double fibrations of semisimple symmetric spaces ⋮ Integral geometry on discrete Grassmannians in \(\mathbb{Z}^n\) ⋮ Book Review: Integral geometry and Radon transforms

Cites Work

• Bi-invariant differential operators on the Euclidean motion group and applications to generalized Radon transforms
• Radon transforms on higher rank Grassmannians
• Invariant differential operators and the range of the Radon d-plane transform
• Integral geometry on Grassmann manifolds and calculus of invariant differential operators
• A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations
• The Radon transform.
• Inversion and characterization of the hemispherical transform
• Pfaffian systems and Radon transforms on affine Grassmann manifolds
• Invariant differential operators on Grassmann manifolds
• Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• On the Range of the Radon d-Plane Transform and Its Dual
• Harmonic Analysis on Grassmannian Bundles
• Radon transforms on affine Grassmannians
• Dual Radon transforms on affine Grassmann manifolds
• Uniform asymptotic expansions at a caustic
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