Asymptotic formulas for the dual Radon transform and applications

DOI10.1007/BF01161760zbMath0598.44001MaRDI QIDQ1079771

Donald C. Solmon

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/183696

zbMATH Keywords

asymptotic expansionHilbert transformasymptotic formulasinversion formulasbehavior at infinityspherical transformdual Radon transformpolynomial consistency conditions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

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Cites Work

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• A note on k-plane integral transforms
• Radon transforms on Grassmann manifolds
• The Radon transform
• \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
• The ham sandwich theorem and some related results
• Lower dimensional integrability of \(L^2\) functions
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• On the existence of certain singular integrals
• Singular Integral Operators and Differential Equations
• An Integral Formula.
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation

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