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math.SP2021
Laplace-Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory
Suresh Eswarathasan, Theodore Kolokolnikov
We study the spectrum of the Laplace-Beltrami operator on ellipsoids. For ellipsoids that are close to the sphere, we use analytic perturbation theory to estimate the eigenvalues u…
math.SP2018
Tangent nodal sets for random spherical harmonics
Suresh Eswarathasan
In this note, we consider a fixed vector field on and study the distribution of points which lie on the nodal set (of a random spherical harmonic) where is also tange…