Translation invariant Radon transforms
E.~T. Quinto proved that for a generalized Radon transform $R$ on ${opr}^n$ the translation invariance of the operator $R^tcirc R$ implies the invertibility of $R$. In this paper an other concept of the translation invariance is defined. We investigate the relation of these two concepts and determin...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
1991
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| Sorozat: | MATHEMATICA BALKANICA
5 No. 1 |
| mtmt: | 1118145 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15965 |
| Tartalmi kivonat: | E.~T. Quinto proved that for a generalized Radon transform $R$ on ${opr}^n$ the translation invariance of the operator $R^tcirc R$ implies the invertibility of $R$. In this paper an other concept of the translation invariance is defined. We investigate the relation of these two concepts and determine the translation invariant Radon transforms to be a certain generalization of the Tretiak-Metz exponential Radon transform. Finally we give inversion formula and prove the support theorem for these transforms. |
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| Terjedelem/Fizikai jellemzők: | 40-46 |
| ISSN: | 0205-3217 |