Bounds for spectral projectors on generic tori

Pierre Germain; Simon L. Rydin Myerson

doi:10.1007/s00208-022-02547-w

Bounds for spectral projectors on generic tori

Pierre Germain, Simon L. Rydin Myerson

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	731-767
Number of pages	37
Journal	Mathematische Annalen
Volume	388
Issue number	1
DOIs	https://doi.org/10.1007/s00208-022-02547-w
State	Published - Jan 2024

ASJC Scopus subject areas

General Mathematics

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Bounds for spectral projectors on generic tori

Abstract

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