2 papers
math.DG2026
A generalization of a result of Minakshisundaram and Pleijel
Ankita Sharma, Mansi Mishra, M. K. Vemuri
Minakshisundaram and Pleijel gave an asymptotic formula for the sum of squares of the pointwise values of the eigenfunctions of the Laplace-Beltrami operator on a compact Riemannia…
math.SP2025
Asymptotic Identities for Jacobi Polynomials via Spectral Geometry of Rank-One Symmetric Spaces
Ankita Sharma
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 f…