Asymptotic identities for Jacobi polynomials via spectral geometry of rank-one symmetric spaces
Abstract
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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Advanced Algebra and Geometry
Holomorphic and Operator Theory
Publication details
- Journal / source
- Integral Transforms and Special Functions
- Publisher
- Informa UK Limited
- Pages
- 1–11
- Publication date
- 4 September 2026
- Language
- EN