\(L^2\) to \(L^p\) bounds for spectral projectors on the Euclidean two-dimensional torus
From MaRDI portal
Publication:6543255
DOI10.1017/S0013091524000099MaRDI QIDQ6543255
Pierre Germain, Ciprian Demeter
Publication date: 24 May 2024
Published in: Proceedings of the Edinburgh Mathematical Society. Series II (Search for Journal in Brave)
Estimates on exponential sums (11L07) Multipliers for harmonic analysis in several variables (42B15) Lattice points in specified regions (11P21)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Control for Schrödinger operators on 2-tori: rough potentials
- Nodal length fluctuations for arithmetic random waves
- Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
- Bounds for spectral projectors on the Euclidean cylinder
- Uniform \(L^p\) resolvent estimates on the torus
- Small cap decouplings. With an appendix by D. R. Heath-Brown.
- The proof of the \(l^2\) decoupling conjecture
- Improved estimates for the discrete Fourier restriction to the higher dimensional sphere
- On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds
- The number of integral points on arcs and ovals
- Fourier Integrals in Classical Analysis
- On lattice points in large convex bodies
- Exponential Sums and Lattice Points III
- On Fourier coefficients and transforms of functions of two variables
- Bounds for spectral projectors on tori
- New Bounds for the Discrete Fourier Restriction to the Sphere in 4D and 5D
- A Problem on Sums of Two Squares
- A Cantor-Lebesgue Theorem in Two Dimensions
- Lattice points in large convex bodies
- A restriction theorem for the Fourier transform
This page was built for publication: \(L^2\) to \(L^p\) bounds for spectral projectors on the Euclidean two-dimensional torus
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6543255)