D. Pezzi

activity

20242026

collaborators

3 papers

math.CA2026

Sharp Eigenfunction Bounds on the Torus for large $p$

Daniel Pezzi

We prove the discrete restriction conjecture holds with no loss when $p > \frac{2 d}{d - 4}$ and $d \geq 5$ . That is, we show optimal $L^{p}$ bounds for eigenfunctions of the Laplacian on…

math.AP2025

Bounds for spectral projectors on the three-dimensional torus

Pierre Germain, Simon L. Rydin Myerson, Daniel Pezzi

We study $L^{2}$ to $L^{p}$ operator norms of spectral projectors for the Euclidean Laplacian on the torus in the case where the spectral window is narrow. With a window of constant si…

math.AP2024

Sharp Spectral Projection Estimates for the Torus at $p_{c} = \frac{2 ( n + 1 )}{n - 1}$

Daniel Pezzi

We prove sharp spectral projection estimates for tori in all dimensions at the exponent $p_{c} = \frac{2 ( n + 1 )}{n - 1}$ for shrinking windows of width $1$ down to windows of length $Î»^{-…

Sharp Eigenfunction Bounds on the Torus for large p

Bounds for spectral projectors on the three-dimensional torus

Sharp Spectral Projection Estimates for the Torus at pc​=n−12(n+1)​

Sharp Eigenfunction Bounds on the Torus for large $p$

Sharp Spectral Projection Estimates for the Torus at $p_{c} = \frac{2 ( n + 1 )}{n - 1}$