J. Gabardo

activity

20132020

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

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

collaborators

Showing 2013 · math.FAShow all

3 papers · 2 filters

math.FA2013

Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution

Jean-Pierre Gabardo, Chun-Kit Lai

Let $Q$ be a fundamental domain of some full-rank lattice in $R^{d}$ and let $μ$ and $ν$ be two positive Borel measures on $R^{d}$ such that the convolution $μ * ν$ is a…

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…

math.FA2013

Frames of multi-windowed exponentials on subsets of $R^{d}$

Jean-Pierre Gabardo, Chun-Kit Lai

Given discrete subsets $Λ_{j} \subset R^{d}$ , $j = 1, ..., q$ , consider the set of windowed exponentials $⋃_{j = 1}^{q} {g_{j} (x) e^{2 π i < λ, x >} : λ \in Λ_{j}}$ on $L^{2} (Ω)$ . We show that…

Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution

Measure of Self-Affine Sets and Associated Densities

Frames of multi-windowed exponentials on subsets of Rd

Frames of multi-windowed exponentials on subsets of $R^{d}$