A generalization of the Mader-Helgason inversion formulas for Radon transforms (Q2844847)
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scientific article; zbMATH DE number 6199608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of the Mader-Helgason inversion formulas for Radon transforms |
scientific article; zbMATH DE number 6199608 |
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A generalization of the Mader-Helgason inversion formulas for Radon transforms (English)
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20 August 2013
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Radon transforms
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inversion formulas
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constant curvature space
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The authors generalize inversion formulas for the hyperplane Radon transform on \({\mathbb R}^{n}\) obtained by Philomena Mader in 1927. The new formulas are different from the formulas obtained by Radon. They generalize Mader's formulas to totally geodesic Radon transforms in any dimension on arbitrary constant curvature spaces. In addition, they extend the inversion formula for the \(k\)-plane transform obtained by S. Helgason in a recent book.
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