80 citations · 243 across the 22 of their papers we have counts for
28 papers
On the existence of extremizers for the sum of eigenvalues of Toeplitz operators
Fabio Nicola, Federico Riccardi, Paolo Tilli
We prove that, among all measurable sets of prescribed Lebesgue measure, there exists a set maximizing the sum of the first eigenvalues () of the…
An elementary approach to Wehrl-type entropy bounds in quantitative form
Fabio Nicola, Federico Riccardi, Paolo Tilli
We consider the problem of the stability (with sharp exponent) of the Lieb--Solovej inequality for symmetric coherent states, which was obtained only recently by the author…
The isoperimetric inequality for partial sums of Toeplitz eigenvalues in the Fock space
Fabio Nicola, Federico Riccardi, Paolo Tilli
We prove that, among all subsets having circular symmetry and prescribed measure, the ball is the only maximizer of the sum of the first eigenvalues ($K\g…
The Wehrl-type entropy conjecture for symmetric coherent states: cases of equality and stability
Fabio Nicola, Federico Riccardi, Paolo Tilli
Lieb and Solovej proved that, for the symmetric representations, the corresponding Wehrl-type entropy is minimized by symmetric coherent states. However, the uniqueness of…
Stability of the Faber-Krahn inequality for the Short-time Fourier Transform
Jaime Gómez, André Guerra, João P. G. Ramos +1
We prove a sharp quantitative version of the Faber--Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how muc…
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…