Bounds for spectral projectors on generic tori

2022/07/06 by Pierre Germain, Germain, Pierre, Simon L. Rydin Myerson +1 · 1 citation
Mathematics · Physics and Astronomy · #11D75 #11H06 #11L07 (Primary) 42B15 #11P21 (Secondary) #42A45 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2207.02967

openalex publication_date 2022/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prove it, improving on previous results concerning arbitrary tori.

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