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

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2402.14756

Authors: Bhargava, Ataleshvara, Chan, Tiklung, Lim, Zi Li, Pang, Yixuan

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: University of Pennsylvania

OpenAlex ID: W4392121087

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