English

Decoupling estimates in Fourier analysis

Classical Analysis and ODEs 2022-07-05 v1

Abstract

Decoupling is a recent development in Fourier analysis, which has applications in harmonic analysis, PDE, and number theory. We survey some applications of decoupling and some of the ideas in the proof. This survey is aimed at a general mathematical audience. It is based on my 2022 ICM talk.

Keywords

Cite

@article{arxiv.2207.00652,
  title  = {Decoupling estimates in Fourier analysis},
  author = {Larry Guth},
  journal= {arXiv preprint arXiv:2207.00652},
  year   = {2022}
}

Comments

31 pages

R2 v1 2026-06-24T12:11:38.944Z