Xiaoye Fu

collaborators

3 papers

math.MG2019

Open set condition and pseudo Hausdorff measure of self-affine IFSs

Xiaoye Fu, Jean-Pierre Gabardo, Hua Qiu

Let $A$ be an $n \times n$ real expanding matrix and $D$ be a finite subset of $R^{n}$ with $0 \in D$ . The family of maps $\{f_d(x)=A^{-1}(x+d)\}_{d\in\math…

math.CA2019

On Spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem

Li-Xiang An, Xiaoye Fu, Chun-Kit Lai

In this paper, we show that if we have a sequence of Hadamard triples ${(N_{n}, B_{n}, L_{n})}$ with $B_{n} \subset {0, 1, .., N_{n} - 1}$ for $n = 1, 2, ...$ , except an extreme case, then the assoc…

math.FA2017

Translational absolute continuity and Fourier frames on a sum of singular measures

Xiaoye Fu, Chun-Kit Lai

A finite Borel measure $μ$ in $R^{d}$ is called a frame-spectral measure if it admits an exponential frame (or Fourier frame) for $L^{2} (μ)$ . It has been conjectured that a f…