Inversion of the Momenta Doppler Transform in two dimensions
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914803494158336 |
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| author | Fujiwara, Hiroshi Omogbhe, David Sadiq, Kamran Tamasan, Alexandru |
| author_facet | Fujiwara, Hiroshi Omogbhe, David Sadiq, Kamran Tamasan, Alexandru |
| contents | We introduce an analytic method which stably reconstructs both components of a (sufficiently) smooth, real valued, vector field compactly supported in the plane from knowledge of its Doppler transform and its first moment Doppler transform. The method of proof is constructive. Numerical inversion results indicate robustness of the method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10758 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inversion of the Momenta Doppler Transform in two dimensions Fujiwara, Hiroshi Omogbhe, David Sadiq, Kamran Tamasan, Alexandru Analysis of PDEs 35J56, 30E20, 35R30, 45E05 We introduce an analytic method which stably reconstructs both components of a (sufficiently) smooth, real valued, vector field compactly supported in the plane from knowledge of its Doppler transform and its first moment Doppler transform. The method of proof is constructive. Numerical inversion results indicate robustness of the method. |
| title | Inversion of the Momenta Doppler Transform in two dimensions |
| topic | Analysis of PDEs 35J56, 30E20, 35R30, 45E05 |
| url | https://arxiv.org/abs/2307.10758 |