Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes
Geis, Michael · arXiv (Cornell University) · 2022
We study the concentration of ladder sequences of spherical harmonics on caustic latitude circles. We prove that they have Airy scaling asymptotics. We also determine the weak* limit of certain empirical measures of $L^2$ norms of restrictions of spherical harmonics to these latitude circles.