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math.CA2023
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…
math-ph2023
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…