D. Pezzi

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20242026

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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 $L^{2}$ 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»^{-…

Bounds for spectral projectors on the three-dimensional torus

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

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