Identifying rotational Radon transforms
We show classes of test functions so that dilational and rotational invariances of the image $\r^{}_{{\Cal S},\mu}f$ of such a test function~$f$ determines dilational and rotational invariances of rotational Radon transform $\r^{}_{{\Cal S},\mu}$. Then we determine the defining flower $\Cal S$ and w...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2013
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| Sorozat: | PERIODICA MATHEMATICA HUNGARICA
67 No. 2 |
| doi: | 10.1007/s10998-013-5391-9 |
| mtmt: | 2181350 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15943 |
| Tartalmi kivonat: | We show classes of test functions so that dilational and rotational invariances of the image $\r^{}_{{\Cal S},\mu}f$ of such a test function~$f$ determines dilational and rotational invariances of rotational Radon transform $\r^{}_{{\Cal S},\mu}$. Then we determine the defining flower $\Cal S$ and weight $\mu$ of a conformal Radon transform $\r^{}_{{\Cal S},\mu}$ in terms of the image $\r^{}_{{\Cal S},\mu}f$ of an unknown function that is a sum of an $\lt$ function and finitely many Dirac distribution if the flower $\Cal S$ is not self tangent. |
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| Terjedelem/Fizikai jellemzők: | 187-209 |
| ISSN: | 0031-5303 |