We show that any union of finitely many shifted model sets from a given cut-and-project
scheme is a model set in some modified cut-and-project scheme. Restricting to direct space …

In this article, we consider the problem of reconstructing an image that is downsampled in
the space of its SE (2) wavelet transform, which is motivated by classical models of simple …

Given a relatively compact $\Omega\subseteq\mathbb {R} $ of Lebesgue measure
$|\Omega| $ and $\varepsilon> 0$, we show the existence of a set $\Lambda\subseteq …

Let G be a locally compact abelian group whose dual group G ˆ is compactly generated. If G
admits a quasicrystal, then it is known that this quasicrystal is a universal sampling and …

We show that any translate of a model set is a model set in some modified cut-and-project
scheme. Restricting to Euclidean direct space, we show that any translate of an inter model …

We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple
model sets. Our setting is model sets in locally compact abelian groups and Fourier analysis …

We build on the work of Basarab Matei by proving a new uniqueness theorem for some
complex Radon measures whose Fourier transforms vanish on the model sets formulated by …

Quasicrystals are non-periodic structures discovered by Shechtman in 1984, while he was
studying materials whose X-ray diffractions spectra present such non-periodic behaviors …