The Momentum Light Ray Transform
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917029458477056 |
|---|---|
| author | Bhattacharyya, Sombuddha Mondal, Tuhin Sahoo, Suman Kumar |
| author_facet | Bhattacharyya, Sombuddha Mondal, Tuhin Sahoo, Suman Kumar |
| contents | In this article, we study Momentum Light Ray Transform (MLRT) on symmetric tensor fields. MLRT is an integral transform in time-space domain ($(t,x)\in \mathbb{R}^{1+n}$), which integrates a scalar function or a tensor field along the light rays with a polynomial type weight. We explore necessary and sufficient conditions for injectivity of MLRT, over general order tensors on space dimension $\geq 2$, from full and restricted measurements. Furthermore, we develop an inversion algorithm for MLRTs in the restricted measurement setting. To prove the results, we use tools from tensor tomography, geometry, and analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Momentum Light Ray Transform Bhattacharyya, Sombuddha Mondal, Tuhin Sahoo, Suman Kumar Analysis of PDEs 44A12, 65R32 In this article, we study Momentum Light Ray Transform (MLRT) on symmetric tensor fields. MLRT is an integral transform in time-space domain ($(t,x)\in \mathbb{R}^{1+n}$), which integrates a scalar function or a tensor field along the light rays with a polynomial type weight. We explore necessary and sufficient conditions for injectivity of MLRT, over general order tensors on space dimension $\geq 2$, from full and restricted measurements. Furthermore, we develop an inversion algorithm for MLRTs in the restricted measurement setting. To prove the results, we use tools from tensor tomography, geometry, and analysis. |
| title | The Momentum Light Ray Transform |
| topic | Analysis of PDEs 44A12, 65R32 |
| url | https://arxiv.org/abs/2510.18450 |