The invertibility of the Radon transform on abstract rotational manifolds of real type
Injectivity and support theorem are proved for the Radon transform on abstract rotational manifolds of real type. The transform is defined by integration over certain rotational submanifolds of codimension 1. Our technique is to use the theory of spherical harmonics. We also get unified closed inver...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
1992
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| Sorozat: | MATHEMATICA SCANDINAVICA
70 No. 1 |
| doi: | 10.7146/math.scand.a-12389 |
| mtmt: | 1118116 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15962 |
| Tartalmi kivonat: | Injectivity and support theorem are proved for the Radon transform on abstract rotational manifolds of real type. The transform is defined by integration over certain rotational submanifolds of codimension 1. Our technique is to use the theory of spherical harmonics. We also get unified closed inversion formulas for the spaces of constant curvature. |
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| Terjedelem/Fizikai jellemzők: | 112-126 |
| ISSN: | 0025-5521 |