no. G11
Analyse harmonique
Bounds for spectral projectors on the Euclidean cylinder
Germain, Pierre1   ; Myerson, Simon2 
1 Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, N.Y. 10012-1185, USA
2 Mathematics Institute, University of Warwick, Zeeman Building, Coventry, CV4 7AL, United Kingdom
Comptes Rendus. Mathématique, Tome 360 (2022) no. G11, pp. 1257-1262.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.378
Germain, Pierre 1 ; Myerson, Simon 2

1 Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, N.Y. 10012-1185, USA
2 Mathematics Institute, University of Warwick, Zeeman Building, Coventry, CV4 7AL, United Kingdom 
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Germain, Pierre; Myerson, Simon. Bounds for spectral projectors on the Euclidean cylinder. Comptes Rendus. Mathématique, Tome 360 (2022) no. G11, pp. 1257-1262. doi : 10.5802/crmath.378. http://www.numdam.org/articles/10.5802/crmath.378/

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