D. Pezzi

activity

20232026

collaborators

4 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 $λ^{-1…

math.AP2023

Energy Distribution for Dirichlet Eigenfunctions on Right Triangles

Hans Christianson, Daniel Pezzi

In this paper, we continue the study of eigenfunctions on triangles initiated by the first author in \cite{Chr-tri} and \cite{Chr-simp}. The Neumann data of Dirichlet eigenfunction…

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)​

Energy Distribution for Dirichlet Eigenfunctions on Right Triangles

Sharp Eigenfunction Bounds on the Torus for large $p$

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