83 citations · 515 across the 58 of their papers we have counts for
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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…
Stability of Gabor frames under small time Hamiltonian evolutions
Maurice A. de Gosson, Karlheinz Gröchenig, José Luis Romero
We consider Hamiltonian deformations of Gabor systems, where the window evolves according to the action of a Schrödinger propagator and the phase-space nodes evolve according to th…
Completeness of Gabor systems
Karlheinz Gröchenig, Antti Haimi, José Luis Romero
We investigate the completeness of Gabor systems with respect to several classes of window functions on rational lattices. Our main results show that the time-frequency shifts of e…