Radon transform on real, complex, and quaternionic Grassmannians

DOI10.1215/S0012-7094-07-13814-6zbMath1125.26013arXivmath/0610927MaRDI QIDQ2370126

Genkai Zhang

Publication date: 22 June 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610927

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Harmonic analysis on homogeneous spaces (43A85) Compact Lie groups of differentiable transformations (57S15)

Related Items (9)

Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds ⋮ On Radon transforms between lines and hyperplanes ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ New inversion formulas for Radon transforms on affine Grassmannians ⋮ The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More ⋮ Semyanistyi's integrals and Radon transforms on matrix spaces ⋮ The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds ⋮ Radon transform on symmetric matrix domains ⋮ A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury's identity

Cites Work

• Unnamed Item
• Unnamed Item
• Bessel functions of matrix argument
• Radon transforms on higher rank Grassmannians
• Bessel functions associated with representations of formally real Jordan algebras
• Integral geometry on Grassmann manifolds and calculus of invariant differential operators
• The Radon transform.
• Radon, cosine and sine transforms on real hyperbolic space
• Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals
• Harmonic Analysis on Grassmannian Bundles

This page was built for publication: Radon transform on real, complex, and quaternionic Grassmannians