12 citations · 12 across the 4 of their papers we have counts for
5 papers · 1 filter
Detecting quasicrystals with quadratic time-frequency distributions
Paolo Boggiatto, Carmen Fernández, Antonio Galbis +1
The usefulness of time-frequency analysis methods in the study of quasicrystals was pointed out in a previous paper, where we proved that a tempered distribution on ${\mathbb R…
Wigner transform and quasicrystals
Paolo Boggiatto, Carmen Fernández, Antonio Galbis +1
Quasicrystals are tempered distributions which satisfy symmetric conditions on and . This suggests that techniques from time-frequency analysis could possibly b…
Cohen class of time-frequency representations and operators: boundedness and uncertainty principles
Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro
This paper presents a proof of an uncertainty principle of Donoho-Stark type involving -concentration of localization operators. More general operators associated with…
The Gabor wave front set in spaces of ultradifferentiable functions
Chiara Boiti, David Jornet, Alessandro Oliaro
Given a non-quasianalytic subadditive weight function we consider the weighted Schwartz space and the short-time Fourier transform on , $\mathcal…
Almost periodic pseudodifferential operators and Gevrey classes
Alessandro Oliaro, Luigi Rodino, Patrik Wahlberg
We study almost periodic pseudodifferential operators acting on almost periodic functions $G_{\rm ap}^s(\rr d)$ of Gevrey regularity index . We prove that almost periodic…