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 $\delta (f;\Omega )$ which measures by how muc…