Trilinear characterizations of the Fourier extension conjecture on the paraboloid in three dimensions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917350625771520 |
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| author | Rios, Cristian Sawyer, Eric |
| author_facet | Rios, Cristian Sawyer, Eric |
| contents | We prove that a local trilinear extension inequality on the paraboloid in three dimensions is equivalent to the Fourier restriction conjecture, and then we prove a variant involving smooth Alpert wavelets that represents the weakest such inequality the authors could find that characterizes the Fourier extension conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trilinear characterizations of the Fourier extension conjecture on the paraboloid in three dimensions Rios, Cristian Sawyer, Eric Classical Analysis and ODEs We prove that a local trilinear extension inequality on the paraboloid in three dimensions is equivalent to the Fourier restriction conjecture, and then we prove a variant involving smooth Alpert wavelets that represents the weakest such inequality the authors could find that characterizes the Fourier extension conjecture. |
| title | Trilinear characterizations of the Fourier extension conjecture on the paraboloid in three dimensions |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2506.03992 |