On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914111154028544 |
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| author | Gonçalves, Felipe Ferreira, João Paulo |
| author_facet | Gonçalves, Felipe Ferreira, João Paulo |
| contents | We prove a sharp Fourier extension inequality on the circle for the Tomas-Stein exponent for functions whose spectrum $\{\pm λ_n\}$ satisfies $λ_{n+1}>3 λ_{n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20934 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum Gonçalves, Felipe Ferreira, João Paulo Classical Analysis and ODEs We prove a sharp Fourier extension inequality on the circle for the Tomas-Stein exponent for functions whose spectrum $\{\pm λ_n\}$ satisfies $λ_{n+1}>3 λ_{n}$. |
| title | On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2510.20934 |