J. Gabardo

activity

20162020

collaborators

3 papers

math.FA2020

On exponential bases and frames with non-linear phase functions and some applications

Jean-Pierre Gabardo, Chun-Kit Lai, Vignon Oussa

In this paper, we study the spectrality and frame-spectrality of exponential systems of the type $E (Λ, φ) = {e^{2 π iλ \cdot φ (x)} : λ \in Λ}$ where the phase function $φ$ is a Borel me…

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.FA2016

Beurling densities and frames of exponentials on the union of small balls

Jean-Pierre Gabardo, Chun-Kit Lai

If $x_{1}, \dots, x_{m}$ are finitely many points in $R^{d}$ , let $E_{ε} = \cup_{i = 1}^{m} x_{i} + Q_{ε}$ , where $Q_{ε} = {x \in R^{d}, ∣ x_{i} ∣ \leq ε /2, i = 1, ..., d}$ and let $f^$ de…