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math.DG2022
Large Steklov eigenvalues on hyperbolic surfaces
Xiaolong Hans Han, Yuxin He, Han Hong
In this paper, we first construct a sequence of hyperbolic surfaces with connected geodesic boundary such that the first normalized Steklov eigenvalue tends to infinity…
math.CA2022
Spherical harmonics and point configurations on the sphere
Xiaolong Han
We construct spherical harmonics on the two-dimensional unit sphere as superpositions of Gaussian beams whose poles form well-separated point configurations. The distributional and…