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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.CA2020★ 14 cited
On the necessity of the constant rank condition for estimates
André Guerra, Bogdan Raiţă
We consider a generalization of the elliptic -estimate suited for linear operators with non-trivial kernels. A classical result of Schulenberger and Wilcox (Ann. Mat. Pura App…