12 citations · 12 across the 3 of their papers we have counts for
4 papers · 1 filter
Umbrella theorems for time-frequency representations
Paolo Boggiatto, Chiara Boiti, Alessandro Oliaro
An uncertainty principle due to H.S. Shapiro, the so-called Umbrella Theorem, asserts that there is no square integrable function uniformly dominating all the elements of an orthon…
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…