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 :
| Szerző: | |
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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 |
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| 245 | 1 | 0 | |a Translation invariant Radon transforms |h [elektronikus dokumentum] / |c Kurusa Árpád |
| 260 | |c 1991 | ||
| 300 | |a 40-46 | ||
| 490 | 0 | |a MATHEMATICA BALKANICA |v 5 No. 1 | |
| 520 | 3 | |a 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. | |
| 856 | 4 | 0 | |u http://publicatio.bibl.u-szeged.hu/15965/1/transrdn.pdf |z Dokumentum-elérés |