12 citations · 12 across the 4 of their papers we have counts for
7 papers
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…
Two Aspects of the Donoho-Stark Uncertainty Principle
Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro
We present some forms of uncertainty principle which involve in a new way localization operators, the concept of -concentration and the standard deviation of fun…
Gabor systems and almost periodic functions
Paolo Boggiatto, Carmen Fernández, Antonio Galbis
We give a construction of Gabor type frames for suitable separable subspaces of the non-separable Hilbert spaces of almost periodic functions of one variable. F…
The wave front set of the Wigner distribution and instantaneous frequency
Paolo Boggiatto, Alessandro Oliaro, Patrik Wahlberg
We prove a formula expressing the gradient of the phase function of a function as a normalized first frequency moment of the Wigner distribution…