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Radon transform on distributions

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Publication:1917584
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DOI10.3792/pjaa.71.202zbMath0872.46024OpenAlexW2064278089MaRDI QIDQ1917584

Alexander G. Ramm

Publication date: 12 October 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.202


zbMATH Keywords

Radon transformspace of tempered distributions


Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Radon transform (44A12)


Related Items (3)

Directional short-time Fourier transform of distributions ⋮ The Ridgelet transform of distributions ⋮ Formal series on cylinders and their Radon transform



Cites Work

  • On the range of the Radon transform and its dual
  • The Radon transform
  • The Radon transform is an isomorphism between \(L^ 2(B_ a)\) and \(H_ e(Z_ a)\)
  • Continuity of the Radon transform and its inverse on Euclidean space
  • Inversion formula and singularities of the solution for the backprojection operator in tomography
  • Uniform asymptotic expansions at a caustic
  • Unnamed Item
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