A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866929720314036224 |
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| author | Gudmundsson, Sigmundur Lindström, Adam |
| author_facet | Gudmundsson, Sigmundur Lindström, Adam |
| contents | In this work we find a unifying scheme for the known explicit complex-valued eigenfunctions on the classical compact Riemannian symmetric spaces. For this we employ the well-known Cartan embedding for those spaces. This also leads to the construction of new eigenfunctions on the quaternionic Grassmannians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13860 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding Gudmundsson, Sigmundur Lindström, Adam Differential Geometry {53C35, 53C43, 58E20 In this work we find a unifying scheme for the known explicit complex-valued eigenfunctions on the classical compact Riemannian symmetric spaces. For this we employ the well-known Cartan embedding for those spaces. This also leads to the construction of new eigenfunctions on the quaternionic Grassmannians. |
| title | A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding |
| topic | Differential Geometry {53C35, 53C43, 58E20 |
| url | https://arxiv.org/abs/2502.13860 |