Bounds for spectral projectors on the Euclidean cylinder
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for the Laplacian on the cylinder $(\mathbb{R} / \mathbb{Z}) \times \mathbb{R}$. In contrast to previous investigations into spectral projectors on tori, having one unbounded dimension available permits a c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2022-12-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.378/ |