Xianghong Chen

activity

20122025

most citedConvolution Powers of Salem Measures with Applications

17 citations · 22 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CA2017

Asymptotics of signed Bernoulli convolutions scaled by multinacci numbers

Xianghong Chen, Tian-You Hu

We study the signed Bernoulli convolution $ν_{β}^{(n)} = *_{j = 1}^{n} (\frac{1}{2} δ_{β^{- j}} - \frac{1}{2} δ_{- β^{- j}}), n \geq 1$ where $β > 1$ satisfies $β^{m} = β^{m - 1} + \dots + β + 1$ for…

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…