论文标题
在苛性纬度的球形谐波梯子序列的缩放渐近学
Scaling asymptotics for ladder sequences of spherical harmonics at caustic latitudes
论文作者
论文摘要
我们研究球形谐波阶梯序列在苛性纬度圆圈上的浓度。我们证明它们具有通风的缩放渐近性。我们还确定了$ l^2 $球形谐波限制规范的某些经验度量的弱限制。
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.
