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math.AP2025
Bounds for spectral projectors on the three-dimensional torus
Pierre Germain, Simon L. Rydin Myerson, Daniel Pezzi
We study to 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
Daniel Pezzi
We prove sharp spectral projection estimates for tori in all dimensions at the exponent for shrinking windows of width 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…