Radon transforms on higher rank Grassmannians
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Publication:1071208
DOI10.4310/jdg/1214440257zbMath0585.43003OpenAlexW1498617749WikidataQ115185320 ScholiaQ115185320MaRDI QIDQ1071208
Publication date: 1986
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214440257
Harmonic analysis on homogeneous spaces (43A85) Grassmannians, Schubert varieties, flag manifolds (14M15) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (20)
A Hadwiger-Type Theorem for General Tensor Valuations ⋮ Projection functions, area measures and the Alesker-Fourier transform ⋮ Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds ⋮ Radon transform on real, complex, and quaternionic Grassmannians ⋮ Range characterization of Radon transforms on quaternionic projective spaces ⋮ On images of Radon transforms ⋮ Dual Radon transforms on affine Grassmann manifolds ⋮ Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds ⋮ A geometric view on Radon transforms ⋮ Integral geometry on Grassmann manifolds and calculus of invariant differential operators ⋮ Range theorems and inversion formulas for Radon transforms on Grassmann manifolds ⋮ Explicit inversion formulas for the \(X\)-ray transform in \(\mathbb{Z}^n\) ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ Kinematic formulas for tensor valuations ⋮ The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds ⋮ Radon transform on symmetric matrix domains ⋮ Even valuations on convex bodies ⋮ The Radon transform for double fibrations of semisimple symmetric spaces ⋮ Range characterization of the cosine transform on higher Grassmannians ⋮ Integral geometry on discrete Grassmannians in \(\mathbb{Z}^n\)
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