29 citations · 79 across the 19 of their papers we have counts for
23 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…
Stability of global wave front sets by perturbations of frames
Chiara Boiti, David Jornet, Alessandro Oliaro
In this paper we consider the Gabor wave front set of ultradistributions in the frame of ultradifferentiable functions. We prove that such a wave front set, defined through a Gabor…
On the compactness of the Weyl operator in
Vicente Asensio, Chiara Boiti, David Jornet +1
We characterize, using time-frequency analysis, the continuity and compactness of the Weyl operator in global classes of ultradifferentiable functions , for weight f…
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…
Mutual estimates of time-frequency representations and uncertainty principles
Angela A. Albanese, Claudio Mele, Alessandro Oliaro
In this paper we give different estimates between Lebesgue norms of quadratic time-frequency representations. We show that, in some cases, it is not possible to have such bounds in…
On the inclusion relations of global ultradifferentiable classes defined by weight matrices
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We study and characterize the inclusion relations of global classes in the general weight matrix framework in terms of growth relations for the defining weight matrices. We conside…