Bounds for spectral projectors on the Euclidean cylinder

Pierre Germain; Simon Myerson

doi:10.5802/crmath.378

Bounds for spectral projectors on the Euclidean cylinder

Pierre Germain, Simon Myerson

Mathematics

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

Abstract

We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for the Laplacian on the cylinder (R/Z)×R. In contrast to previous investigations into spectral projectors on tori, having one unbounded dimension available permits a compact self-contained proof.

Original language	English (US)
Pages (from-to)	1257-1262
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	360
DOIs	https://doi.org/10.5802/crmath.378
State	Published - 2022

ASJC Scopus subject areas

General Mathematics

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10.5802/crmath.378

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abstract = "We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for the Laplacian on the cylinder (R/Z)×R. In contrast to previous investigations into spectral projectors on tori, having one unbounded dimension available permits a compact self-contained proof.",

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Bounds for spectral projectors on the Euclidean cylinder

Abstract

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