Bourgain’s work in Fourier restriction (Q5854478)

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scientific article; zbMATH DE number 7324014

Language	Label	Description	Also known as
English	Bourgain’s work in Fourier restriction	scientific article; zbMATH DE number 7324014

Statements

scholarly article

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Bourgain’s work in Fourier restriction (English)

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Ciprian Demeter

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Bulletin of the American Mathematical Society

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publication date

17 March 2021

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zbMATH Keywords

Fourier restriction

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Kakeya conjecture

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/bull/1717

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The Difference Between Consecutive Primes, II

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On the multilinear restriction and Kakeya conjectures

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Decoupling, exponential sums and the Riemann zeta function

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A note on the Schrödinger maximal function

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The proof of the \(l^2\) decoupling conjecture

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Mean value estimates for Weyl sums in two dimensions

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Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

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New Bounds for the Discrete Fourier Restriction to the Sphere in 4D and 5D

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Decoupling for Perturbed Cones and the Mean Square of $|\zeta (\frac 12+it)|$

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On the Schrödinger maximal function in higher dimension

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Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

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Bounds on oscillatory integral operators based on multilinear estimates

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Jubilee volume on the occasion of the 50th year of publication of the journal

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On the dimension of Kakeya sets and related maximal inequalities

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On the distribution of Dirichlet sums

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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\(L^ p\)-estimates for oscillatory integrals in several variables

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Besicovitch type maximal operators and applications to Fourier analysis

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Bounded orthogonal systems and the \(\Lambda\) (p)-set problem

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Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions

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A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)

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On the arithmetic Kakeya conjecture of Katz and Tao

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Sharp estimates for oscillatory integral operators via polynomial partitioning

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Oscillatory integrals and multipliers on FL\(^p\)

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Bounds on arithmetic projections, and applications to the Kakeya conjecture

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On the work of Jean Bourgain in nonlinear dispersive equations

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From harmonic analysis to arithmetic combinatorics

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Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds

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Exploring the toolkit of Jean Bourgain

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Local smoothing type estimates on \(L^p\) for large \(p\)

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/BULL/1717

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Sitelinks

Mathematics(1 entry)

mardi Publication:5854478

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