Invariant differential operators and the range of the Radon d-plane transform

DOI10.1007/BF01446918zbMath0676.44005MaRDI QIDQ1122744

Fulton B. Gonzalez

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164710

zbMATH Keywords

Lie algebrauniversal enveloping algebraEuclidean motion groupinvariant differential operatorleft regular representationaffine Grassmann manifoldRadon d-plane transformrange theorem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Analysis on real and complex Lie groups (22E30) Integral geometry (53C65)

Related Items

Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds ⋮ Reconstruction of functions from their integrals over \(k\)-planes ⋮ Range characterization of Radon transforms on quaternionic projective spaces ⋮ Dual Radon transforms on affine Grassmann manifolds ⋮ Integral geometry on Grassmann manifolds and calculus of invariant differential operators ⋮ The range characterizations of the totally geodesic Radon transform on the real hyperbolic space ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ On an αth-order fractional Radon transform and a wave type of equation ⋮ The flat horocycle transform for a symmetric space

Cites Work

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