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arXiv · 2402.14756

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

Ataleshvara Bhargava·Tiklung Chan·Zi Li Lim·Yixuan Pang
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Abstract

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.

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Ataleshvara Bhargava, Tiklung Chan, Zi Li Lim, Yixuan Pang. 2024-02-22. A study guide for the $\ell^2$ decoupling theorem for the paraboloid. https://arxiv.org/abs/2402.14756

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