Restricted projections and Fourier decoupling in $\mathbb{Q}_p^n$
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914850898182144 |
|---|---|
| author | Johnsrude, Ben Lin, Zuo |
| author_facet | Johnsrude, Ben Lin, Zuo |
| contents | We prove a restricted projection theorem for Borel subsets of $\mathbb{Q}_p^n$ in the regime $p>n$. This generalizes results of Gan-Guo-Wang in the real setting. Our result is effective in the sense that explicit constants are obtained for various covering numbers. Along the way, we prove a fully explicit Fourier decoupling theorem for the moment curve in $p$-adic Cartesian space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Restricted projections and Fourier decoupling in $\mathbb{Q}_p^n$ Johnsrude, Ben Lin, Zuo Classical Analysis and ODEs 43A25 (Primary), 28A80 (Secondary) We prove a restricted projection theorem for Borel subsets of $\mathbb{Q}_p^n$ in the regime $p>n$. This generalizes results of Gan-Guo-Wang in the real setting. Our result is effective in the sense that explicit constants are obtained for various covering numbers. Along the way, we prove a fully explicit Fourier decoupling theorem for the moment curve in $p$-adic Cartesian space. |
| title | Restricted projections and Fourier decoupling in $\mathbb{Q}_p^n$ |
| topic | Classical Analysis and ODEs 43A25 (Primary), 28A80 (Secondary) |
| url | https://arxiv.org/abs/2406.19473 |