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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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
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:	Date Event 2024 Published 23 December 2022 Available 14 December 2022 Accepted
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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