D. Fan

activity

20072018

most citedA bilinear oscillatory integral along parabolas

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

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 $n$ -sphere $(n \geq 2)$ , whose Cesàro (C, $\frac{n - 1}{2}$ ) means with respect to the spherical harmonic expansion diverge unbou…

math.CA2017

Restriction of the Fourier transform to some oscillating curves

Xianghong Chen, Dashan Fan, Lifeng Wang

Let $ϕ$ be a smooth function on a compact interval $I$ . Let $γ (t) = (t, t^{2}, \dots, t^{n - 1}, ϕ (t)) .$ In this paper, we show that $$\left(\int_I \big|\hat f(γ(t))\big|^q \b…

math.CA2016

On almost everywhere divergence of Bochner-Riesz means on compact Lie groups

Xianghong Chen, Dashan Fan

Let $G$ be a connected, simply connected, compact semisimple Lie group of dimension $n$ . It has been shown by Clerc \cite{Clerc1974} that, for any $f \in L^{1} (G)$ , the Bochner-Riesz…

math.CA2007★ 3 cited

A bilinear oscillatory integral along parabolas

Dashan Fan, Xiaochun Li

We establish an $L^{\infty} \times L^{2} \to L^{2}$ norm estimate for a bilinear oscillatory integral along parabolas incorporating oscillatory factors $e^{i ∣ t ∣^{- β}}$ .