81 citations · 338 across the 34 of their papers we have counts for
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Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
We study the problem of sampling with derivatives in shift-invariant spaces generated by totally-positive functions of Gaussian type or by the hyperbolic secant. We provide sharp c…
A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem
Michele Berra, Maarten V. de Hoop, José Luis Romero
We present a construction of a multi-scale Gaussian beam parametrix for the Dirichlet boundary value problem associated with the wave equation, and study its convergence rate to th…
Sharp rates of convergence for accumulated spectrograms
Luís Daniel Abreu, João Pereira, José Luis Romero
We investigate an inverse problem in time-frequency localization: the approximation of the symbol of a time-frequency localization operator from partial spectral information by the…
Harmonic analysis in phase space and finite Weyl-Heisenberg ensembles
Luís Daniel Abreu, Karlheinz Gröchenig, José Luis Romero
Weyl-Heisenberg ensembles are translation-invariant determinantal point processes on associated with the Schrödinger representation of the Heisenberg group, and i…
MSE estimates for multitaper spectral estimation and off-grid compressive sensing
Luís Daniel Abreu, José Luis Romero
We obtain estimates for the Mean Squared Error (MSE) for the multitaper spectral estimator and certain compressive acquisition methods for multi-band signals. We confirm a fact dis…