On the Injectivity of the Attenuated Radon Transform

DOI10.2307/2045185zbMath0567.44002OpenAlexW4238444490MaRDI QIDQ3682982

Alexander Hertle

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045185

zbMATH Keywords

injectivityattenuated exponential Radon transformconstant attenuationhole theoremlimited angle reconstruction

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Integral equations with miscellaneous special kernels (45H05)

Related Items (5)

The identification problem for the constantly attenuated Radon transform ⋮ Support theorems for real-analytic Radon transforms ⋮ Paley-Wiener theorem for exponential Radon transform ⋮ Inversion of exponential \(k\)-plane transforms ⋮ Filtered-backprojection and the exponential Radon transform

Cites Work

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• Erratum: The invertibility of rotation invariant Radon transforms
• On the inversion of the attenuated Radon transform
• The Radon transform
• Fourier Inversion of the Attenuated X-Ray Transform
• An Elementary Proof of Local Invertibility for Generalized and Attenuated Radon Transforms
• The Exponential Radon Transform
• Radon Inversion--Variations on a Theme
• APPROXIMATION BY HOLOMORPHIC FUNCTIONS ON SMOOTH MANIFOLDS INCⁿ

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