59 citations · 398 across the 59 of their papers we have counts for
7 papers · 1 filter
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…
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…
On the existence of optimizers for time-frequency concentration problems
Fabio Nicola, José Luis Romero, S. Ivan Trapasso
We consider the problem of the maximum concentration in a fixed measurable subset of the time-frequency space for functions . Th…
The Faber-Krahn inequality for the Short-time Fourier transform
Fabio Nicola, Paolo Tilli
In this paper we solve an open problem concerning the characterization of those measurable sets that, among all sets having a prescribed Lebesgue measure…
A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform
Fabio Nicola, S. Ivan Trapasso
In this note we provide a negative answer to a question raised by M. Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture. In part…
Global regularity for ordinary differential operators with polynomial coefficients
Fabio Nicola, Luigi Rodino
For a class of ordinary differential operators with polynomial coefficients, we give a necessary and sufficient condition for to be globally regular in , i.e. $u\in\cS^…