Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes

Michael Geis

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arXiv · 2208.02770

Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes

Michael Geis

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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 $L^2$ norms of restrictions of spherical harmonics to these latitude circles.

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Michael Geis. 2022-08-04. Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes. https://arxiv.org/abs/2208.02770

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