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

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Showing 2013Show all

2 papers · 1 filter

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…