59 citations · 398 across the 59 of their papers we have counts for
76 papers
The generalized Wehrl entropy bound in quantitative form
Rupert L. Frank, Fabio Nicola, Paolo Tilli
Lieb and Carlen have shown that mixed states with minimal Wehrl entropy are coherent states. We prove that mixed states with almost minimal Wehrl entropy are almost coherent states…
Maximally localized Gabor orthonormal bases on locally compact Abelian groups
Fabio Nicola
A Gabor orthonormal basis, on a locally compact Abelian (LCA) group , is an orthonormal basis of which consists of time-frequency shifts of some template .…
A monotonicity theorem for subharmonic functions on manifolds
Aleksei Kulikov, Fabio Nicola, Joaquim Ortega-Cerdà +1
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds, which can be regarded as a new, measure theoretic form of the uncertainty prin…
On heat equations associated with fractional harmonic oscillators
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator , , associated with the harmonic oscillator . We…
The norm of time-frequency and wavelet localization operators
Fabio Nicola, Paolo Tilli
Time-frequency localization operators (with Gaussian window) , where is a weight in , were introduced in signal pro…
Stability of the scattering transform for deformations with minimal regularity
Fabio Nicola, S. Ivan Trapasso
Within the mathematical analysis of deep convolutional neural networks, the wavelet scattering transform introduced by Stéphane Mallat is a unique example of how the ideas of multi…