Fourier Restriction, Decoupling, and Applications

DOI10.1017/9781108584401zbMath1471.42001OpenAlexW4211001652MaRDI QIDQ5205971

Ciprian Demeter

Publication date: 17 December 2019

Full work available at URL: https://doi.org/10.1017/9781108584401

zbMATH Keywords

Strichartz estimatesKakeya conjectureFourier restriction problemFourier analytic tool\(\ell^{2}\)-decouplingBourgain-Guth induction on scalesKakeya estimatesmultilinear restriction theory

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Estimates on exponential sums (11L07) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Fourier integral operators applied to PDEs (35S30) Sampling theory in information and communication theory (94A20) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02) Wave front sets in context of PDEs (35A18) Harmonic analysis and PDEs (42B37) Arithmetic combinatorics; higher degree uniformity (11B30)

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