2 papers
math.AP2016
Distribution of the nodal sets of eigenfunctions on analytic manifolds
Xiaolong Han
The nodal set of the Laplacian eigenfunction has co-dimension one and has finite hypersurface measure on a compact Riemannian manifold. In this paper, we investigate the distributi…
math.CA2014
Spherical harmonics with maximal Lp (2<p<=6) norm growth
Xiaolong Han
In this paper, we show that there exists a positive density subsequence of orthonormal spherical harmonics which achieves the maximal Lp norm growth for 2<p<=6, therefore giving an…