Xiaoye Fu

activity

20132019

most citedOpen set condition and pseudo Hausdorff measure of self-affine IFSs

7 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

math.MG2019★ 7 cited

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★ 1 cited

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…

math.FA2014

Decomposition of Integral Self-Affine Multi-Tiles

Xiaoye Fu, Jean-Pierre Gabardo

In this paper, we propose a method to decompose an integral self-affine $Z^{n}$ -tiling set $K$ into measure disjoint pieces $K_{j}$ satisfying $K = ⋃ K_{j}$ in…

math.FA2013

Spectrality of Self-Similar Tiles

Xiaoye Fu, Xinggang He, Ka-Sing Lau

We call a set $K \subset R^{s}$ with positive Lebesgue measure a {\it spectral set} if $L^{2} (K)$ admits an exponential orthonormal basis. It was conjectured that $K$ is a sp…

math.FA2013

Measure of Self-Affine Sets and Associated Densities

Xiaoye Fu, Jean-Pierre Gabardo

Let $B$ be an $n \times n$ real expanding matrix and $D$ be a finite subset of $R^{n}$ with $0 \in D$ . The self-affine set $K = K (B, D)$ is the uniqu…