Decoupling estimates in Fourier analysis
From MaRDI portal
Publication:6118174
DOI10.4171/icm2022/172arXiv2207.00652OpenAlexW4389775483MaRDI QIDQ6118174
Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.00652
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Weyl sums (11L15)
Cites Work
- The cubic case of the main conjecture in Vinogradov's mean value theorem
- Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
- A note on the Schrödinger maximal function
- Averages in the plane over convex curves and maximal operators
- Bounds on oscillatory integral operators based on multilinear estimates
- On the multilinear restriction and Kakeya conjectures
- \(L^p\) estimates for the waves equation
- Propagation of singularities and maximal functions in the plane
- Besicovitch type maximal operators and applications to Fourier analysis
- Large improvements in Waring's problem
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- On the dimension of Kakeya sets and related maximal inequalities
- Local smoothing type estimates on \(L^p\) for large \(p\)
- Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
- On the dimension and smoothness of radial projections
- An improved bound on the Minkowski dimension of Besicovitch sets in \(\mathbb{R}^3\)
- Trigonometric sums in number theory and analysis. Transl. from the Russian
- An improved bound for Kakeya type maximal functions
- Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
- An \(l^2\) decoupling interpretation of efficient congruencing: the parabola
- A sharp square function estimate for the cone in \(\mathbb{R}^3\)
- Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- On integer solutions of Parsell-Vinogradov systems
- The proof of the \(l^2\) decoupling conjecture
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- On the Schrödinger maximal function in higher dimension
- A priori estimates for the wave equation and some applications
- Mean and large values of Dirichlet polynomials
- The multiplier problem for the ball
- A note on spherical summation multipliers
- A nonlinear generalisation of the Loomis-Whitney inequality and applications
- Decoupling, exponential sums and the Riemann zeta function
- On the size of Kakeya sets in finite fields
- On Sumsets of Convex Sets
- A note on pointwise convergence for the Schrödinger equation
- L p regularity of averages over curves and bounds for associated maximal operators
- Beijing Lectures in Harmonic Analysis. (AM-112)
- Maximal functions: Spherical means
- A Kakeya-type problem for circles
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³
- A short proof of ℓ2 decoupling for the moment curve
- A short proof of the multilinear Kakeya inequality
- Nested efficient congruencing and relatives of Vinogradov's mean value theorem
- An inequality related to the isoperimetric inequality
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Decoupling estimates in Fourier analysis
