Geodesic
Bounds for spectral projectors on tori
Forum of Mathematics, Sigma, Tome 10 (2022)

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We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This is closely related to the boundedness of resolvents of the Laplacian and the boundedness of $L^{p}$ norms of eigenfunctions of the Laplacian. We formulate a conjecture and partially prove it. 
@article{10_1017_fms_2022_18,
     author = {Pierre Germain and Simon L. Rydin Myerson},
     title = {Bounds for spectral projectors on tori},
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Pierre Germain; Simon L. Rydin Myerson. Bounds for spectral projectors on tori. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.18

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