Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915232663732224 |
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| author | Pogosyan, G. S. Yakhno, A. |
| author_facet | Pogosyan, G. S. Yakhno, A. |
| contents | Three subgroup type eigenfunctions of the Laplace-Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered and all interbasis expansions between them are calculated. It is shown how the coefficients determining the expansions and the expansions themselves between subgroup basis contract from the hyperboloid to the Euclidean plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05514 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis Pogosyan, G. S. Yakhno, A. Mathematical Physics Three subgroup type eigenfunctions of the Laplace-Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered and all interbasis expansions between them are calculated. It is shown how the coefficients determining the expansions and the expansions themselves between subgroup basis contract from the hyperboloid to the Euclidean plane. |
| title | Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2504.05514 |