Asymptotic Identities for Jacobi Polynomials via Spectral Geometry of Rank-One Symmetric Spaces
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913831184236544 |
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| author | Sharma, Ankita |
| author_facet | Sharma, Ankita |
| contents | Radial eigenfunctions of the Laplace-Beltrami operator on compact rank-one symmetric spaces may be expressed in terms of Jacobi polynomials. We use this fact to prove an identity for Jacobi polynomials which is inspired by results of Minakshisundaram-Pleijel and Zelditch on the Fourier coefficients of a smooth measure supported on a compact submanifold of a compact Riemannian manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic Identities for Jacobi Polynomials via Spectral Geometry of Rank-One Symmetric Spaces Sharma, Ankita Spectral Theory 33C50, 33C45, 33C55, 41A60 Radial eigenfunctions of the Laplace-Beltrami operator on compact rank-one symmetric spaces may be expressed in terms of Jacobi polynomials. We use this fact to prove an identity for Jacobi polynomials which is inspired by results of Minakshisundaram-Pleijel and Zelditch on the Fourier coefficients of a smooth measure supported on a compact submanifold of a compact Riemannian manifold. |
| title | Asymptotic Identities for Jacobi Polynomials via Spectral Geometry of Rank-One Symmetric Spaces |
| topic | Spectral Theory 33C50, 33C45, 33C55, 41A60 |
| url | https://arxiv.org/abs/2504.20548 |