Germain, Pierre and Rydin Myerson, Simon L. (2022) Bounds for spectral projectors on tori. Forum of Mathematics, Sigma, 10 . e24. doi:10.1017/fms.2022.18 ISSN 2050-5094 .

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Abstract

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 Lp norms of eigenfunctions of the Laplacian. We formulate a conjecture and partially prove it.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Decoupling (Mathematics) , Geometry of numbers, Resolvents (Mathematics) , Lattice theory , Harmonic analysis, Exponential sums
Journal or Publication Title:	Forum of Mathematics, Sigma
Publisher:	Cambridge University Press
ISSN:	2050-5094
Official Date:	12 May 2022
Dates:	Date Event 12 May 2022 Published 3 April 2022 Accepted 17 May 2021 Submitted
Volume:	10
Number of Pages:	20
Article Number:	e24
DOI:	10.1017/fms.2022.18
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	16 May 2022
Date of first compliant Open Access:	16 May 2022
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID 255083470 [DFG] Deutsche Forschungsgemeinschaft http://dx.doi.org/10.13039/501100001659 UNSPECIFIED Leverhulme Trust http://dx.doi.org/10.13039/501100000275 DMS-1501019 [NSF] National Science Foundation (US) http://dx.doi.org/10.13039/100000001

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