Publication Cover
Applicable Analysis
An International Journal
Volume 19, 1985 - Issue 1
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Original Articles

Derivative norm estimates for the radon transform with application to tomography

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Pages 49-61 | Published online: 02 May 2007

References

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  • Natterer , F. 1980 . A Sobolev space analysis of picture reconstruction . Siam J. Appl. Math , 39 : 402 – 411 .
  • Smith , K. , Solmon , D. C. and Wagner , S. L. 1977 . Practical and mathematical aspects of the problem of reconstructing objects from radiographs . Bull. Amer. Math. Soc , 83 : 1227 – 1270 .
  • Solmon , D. C. 1979 . A note on k-plane integral transforms . J. Math. Anal. Appl , 71 : 351 – 358 .
  • Stein , E. M. 1970 . Singular Integrals and Differentiability Properties of Functions , N.J. : Princeton Univ. Press .
  • Strichartz , R. S. 1981 . LP estimates for Radon transforms in Euclidean and non-Euclidean spaces . Duke Math. J , 48 : 699 – 727 .

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