The Radon transform on half sphere
The Radon transform that integrates a function in ${cal S}^n$, the $n$-dimensional sphere, over totally geodesic submanifolds with codimension 1, the great circles, and the dual Radon transform are investigated in this paper. Inversion formulas, range spaces and null spaces are given.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
1993
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| Sorozat: | ACTA SCIENTIARUM MATHEMATICARUM - SZEGED
58 No. 1-4 |
| mtmt: | 1118143 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15960 |
| Tartalmi kivonat: | The Radon transform that integrates a function in ${cal S}^n$, the $n$-dimensional sphere, over totally geodesic submanifolds with codimension 1, the great circles, and the dual Radon transform are investigated in this paper. Inversion formulas, range spaces and null spaces are given. |
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| Terjedelem/Fizikai jellemzők: | 143-158 |
| ISSN: | 0001-6969 |