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Bounds for spectral projectors on generic tori
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Germain, Pierre and Rydin Myerson, Simon L. (2024) Bounds for spectral projectors on generic tori. Mathematische Annalen . doi:10.1007/s00208-022-02547-w ISSN 0025-5831.
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WRAP-bounds-spectral-projectors-generic-tori-Rydin-Myerson-2022.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (674Kb) |
Official URL: https://doi.org/10.1007/s00208-022-02547-w
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.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Mathematische Annalen | ||||||||
Publisher: | Springer Verlag | ||||||||
ISSN: | 0025-5831 | ||||||||
Official Date: | 2024 | ||||||||
Dates: |
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DOI: | 10.1007/s00208-022-02547-w | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 15 December 2022 | ||||||||
Date of first compliant Open Access: | 3 January 2023 | ||||||||
Funder: | PG was supported by the Simons collaborative grant on weak turbulence. SLRM was supported by a Leverhulme Early Career Fellowship, by the Fields Institute for Research in Mathematical Sciences, and by the National Science Foundation grant DMS 1363013. | ||||||||
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