A characterization of the Radon transform's range by a system of PDEs

DOI10.1016/0022-247X(91)90371-6zbMath0754.44001OpenAlexW2168435837MaRDI QIDQ1190329

Árpád Kurusa

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90371-6

zbMATH Keywords

Radon transformcharacterization of the rangerange of the Radon transformultrahyperbolicultrahyperbolic system

Mathematics Subject Classification ID

Radon transform (44A12) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (2)

The range characterizations of the totally geodesic Radon transform on the real hyperbolic space ⋮ The totally geodesic Radon transform on the Lorentz space of curvarture \(-1\)

Cites Work

• The Radon transform
• Null spaces and ranges for the classical and spherical Radon transforms
• The X-ray transform
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Integral geometry on k-dimensional planes
• Uniform asymptotic expansions at a caustic
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