3 papers
math.AP2020
A sharp regularity estimate for the Schrödinger propagator on the sphere
Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee +1
Let denote the Laplace-Beltrami operator on the -dimensional unit sphere . In this paper we show that $$ \| e^{it Δ_{\mathbb S^n}}f \|_{L^4([0, 2π…
math.CA2018
Almost everywhere divergence of spherical harmonic expansions and equivalence of summation methods
Xianghong Chen, Dashan Fan, Juan Zhang
We show that there exists an integrable function on the -sphere , whose Cesàro (C,) means with respect to the spherical harmonic expansion diverge unbou…
math.CA2017
Asymptotics of signed Bernoulli convolutions scaled by multinacci numbers
Xianghong Chen, Tian-You Hu
We study the signed Bernoulli convolution where satisfies for…