Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes
Spectral Theory
2022-08-05 v1
Abstract
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 norms of restrictions of spherical harmonics to these latitude circles.
Keywords
Cite
@article{arxiv.2208.02770,
title = {Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes},
author = {Michael Geis},
journal= {arXiv preprint arXiv:2208.02770},
year = {2022}
}
Comments
17 pages