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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.03525 |
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| _version_ | 1866909535021563904 |
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| author | da Silva, Gedeana Pantoja Gonçalves, Alexandre Casassola Rafael, Ferreira da Silva |
| author_facet | da Silva, Gedeana Pantoja Gonçalves, Alexandre Casassola Rafael, Ferreira da Silva |
| contents | We improve a specific method to obtain the dimension of the eigenspaces of the Laplace-Beltrami operator on lens spaces and establish some applications related to the explicit description of the dimension of the smallest positive eigenvalue and the parity of the dimensions of the eigenspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces da Silva, Gedeana Pantoja Gonçalves, Alexandre Casassola Rafael, Ferreira da Silva Spectral Theory 58J50 (Primary) 11D04 (Secondary) We improve a specific method to obtain the dimension of the eigenspaces of the Laplace-Beltrami operator on lens spaces and establish some applications related to the explicit description of the dimension of the smallest positive eigenvalue and the parity of the dimensions of the eigenspaces. |
| title | On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces |
| topic | Spectral Theory 58J50 (Primary) 11D04 (Secondary) |
| url | https://arxiv.org/abs/2411.03525 |