A study guide for the $\ell^2$ decoupling theorem for the paraboloid

Fuente: arXiv
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Autores principales: Bhargava, Ataleshvara, Chan, Tiklung, Lim, Zi Li, Pang, Yixuan
Formato: Preprint
Publicado: 2024
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author Bhargava, Ataleshvara
Chan, Tiklung
Lim, Zi Li
Pang, Yixuan
author_facet Bhargava, Ataleshvara
Chan, Tiklung
Lim, Zi Li
Pang, Yixuan
contents This article serves as a study guide for the $\ell^2$ decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many expositions about the $\ell^2$ decoupling theorem already exist. Our study guide is intended to complement and combine these existing resources in order to provide a more gentle introduction to the subject.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14756
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A study guide for the $\ell^2$ decoupling theorem for the paraboloid
Bhargava, Ataleshvara
Chan, Tiklung
Lim, Zi Li
Pang, Yixuan
Classical Analysis and ODEs
42B15, 42-02
This article serves as a study guide for the $\ell^2$ decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many expositions about the $\ell^2$ decoupling theorem already exist. Our study guide is intended to complement and combine these existing resources in order to provide a more gentle introduction to the subject.
title A study guide for the $\ell^2$ decoupling theorem for the paraboloid
topic Classical Analysis and ODEs
42B15, 42-02
url https://arxiv.org/abs/2402.14756