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International Journal of Computer Mathematics Volume 84, 2007 - Issue 3
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Original Articles

Inversion of the Radon transform on the product Laguerre hypergroup by using generalized wavelets

Pei Liu Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P.R. ChinaView further author information
&
Jianxun He Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P.R. ChinaCorrespondence[email protected]
Pages 287-295 | Received 14 Jun 2006, Accepted 04 Jan 2007, Published online: 17 May 2007

References

  • Helgason , S. 1999 . The Radon Transform , (2nd edn) , Boston : Birkhäuser .
  • Holschneider , M. 1991 . Inverse Radon transform through inverse wavelet transform . Inverse Problems , 7 : 853 – 861 .
  • Rubin , B. 1998 . The Calderón formula, windowed x-ray transforms and Radon transforms in L p -spaces . Journal of Fourier Analysis and Applications , 4 : 175 – 197 .
  • Rubin , B. 1998 . Fractional calculus and wavelet transforms in integral geometry . Fractional Calculus and Applied Analysis , 1 : 193 – 219 .
  • Nessibi , M. M. and Trimèche , K. 1997 . Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets . Journal of Mathematical Analysis and Applications , 208 : 337 – 363 .
  • He , J. and Liu , H. 2005 . Inversion of the Radon transform associated with the classical domain of type one . International Journal of Mathematics , 16 : 875 – 887 .
  • Strichartz , R. S. 1991 . L p harmonic analysis and Radon transforms on the Heisenberg group . Journal of Functional Analysis , 96 : 350 – 406 .
  • He , J. 2006 . A characterization of inverse Radon transform on the Laguerre hypergroup . Journal of Mathematical Analysis and Applications , 318 : 387 – 395 .

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