5 papers
Eigenfunctions, free boundaries, and time-frequency localization
João P. G. Ramos
We develop an inverse theory for time-frequency localization operators, whose central idea that of is free-boundary problem: the localization domain is unknown and its boundary is…
-Stability for STFT phase retrieval
Susanna Bertolini, Jaume de Dios Pont, Ben Pineau +2
We prove that the short-time Fourier transform with Gaussian window performs -local stable phase retrieval at the constant function. The proof involved significant interplay b…
Quantitative Stability for Minkowski's problem
Károly Böröczky, João Miguel Machado, João P. G. Ramos
We derive quantitative stability results for Minkowski bodies, as well as their counterparts, the -Minkowski bodies in the range . We prove that, for every pai…
On the regularity of Fourier interpolation formulas
Gabriele Cassese, João P. G. Ramos
By applying new functional analysis tools in the framework of Fourier interpolation formulas, such as sc-Fredholm operators and Schauder frames, we are able to improve and refine s…
Uniform stability of concentration inequalities and applications
Jaime Gómez, David Kalaj, Petar MelentijeviÄ +1
We prove a sharp quantitative version of recent Faber-Krahn inequalities for the continuous Wavelet transforms associated to a certain family of Cauchy wavelet windows . Our result…