Bounds for spectral projectors on the Euclidean cylinder

Pierre Germain, Simon Myerson

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1257-1262
Number of pages6
JournalComptes Rendus Mathematique
StatePublished - 2022

ASJC Scopus subject areas

  • General Mathematics


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