Real Analytic Radon Transforms on Rank One Symmetric Spaces

DOI10.2307/2159714zbMath0762.44002OpenAlexW4235101028MaRDI QIDQ4032518

Eric Todd Quinto

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2159714

zbMATH Keywords

Radon transformsmicrolocal analysisrank one symmetric spaceshorocycleslocal support theorem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (5)

Radon transforms and Gegenbauer-Chebyshev integrals. I ⋮ Support theorem for the light-ray transform of vector fields on Minkowski spaces ⋮ Sets of injectivity for weighted twisted spherical means and support theorems ⋮ Support Theorems for Radon Transforms on Real Analytic Line Complexes in Three-Space ⋮ A support theorem for the geodesic ray transform on functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum: The invertibility of rotation invariant Radon transforms
• Support theorems for real-analytic Radon transforms
• Nonlocal inversion formulas for the X-ray transform
• A support theorem for the \(X\)-ray transform
• The X-ray transform
• The surjectivity of invariant differential operators on symmetric spaces. I
• A duality for symmetric spaces with applications to group representations
• Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform
• The Radon Transform on a Family of Curves in the Plane
• The Dependence of the Generalized Radon Transform on Defining Measures
• Computerized Tomography: The New Medical X-Ray Technology
• Duality and Radon Transform for Symmetric Spaces

This page was built for publication: Real Analytic Radon Transforms on Rank One Symmetric Spaces