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arXiv · 2207.02967

Bounds for spectral projectors on generic tori

Pierre Germain·Simon L. Rydin Myerson
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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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Pierre Germain, Simon L. Rydin Myerson. 2022-07-06. Bounds for spectral projectors on generic tori. https://arxiv.org/abs/2207.02967

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