Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909605937807360 |
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| author | Cuenin, Jean-Claude Nguyen, Ngoc Nhi Su, Xiaoyan |
| author_facet | Cuenin, Jean-Claude Nguyen, Ngoc Nhi Su, Xiaoyan |
| contents | We establish $L^q$ spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only assumed to be of class $C^s$, where $0\leq s\leq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05904 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics Cuenin, Jean-Claude Nguyen, Ngoc Nhi Su, Xiaoyan Analysis of PDEs Spectral Theory We establish $L^q$ spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only assumed to be of class $C^s$, where $0\leq s\leq 2$. |
| title | Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2505.05904 |