14 citations · 27 across the 13 of their papers we have counts for
4 papers · 1 filter
Asymptotic safety regions for Gabor frames generated by Hermite functions
Markus Faulhuber, Irina Shafkulovska, Ilya Zlotnikov
The aim of this paper is to establish new regions in the frame sets of Hermite functions . A classical result of Gröchenig and Lyubarskii shows that the Gabor system $\mathcal…
Derivatives of Theta Functions and a Problem of Lyubarskii and Nes
Lukas Liehr, Irina Shafkulovska, Mitchell A. Taylor
We characterize all lattices of rational density for which the Gabor system generated by the first Hermite function along is a frame for $L^2(\mathbb{R}…
Gabor Frames of Totally Positive Functions: A Complete Characterization
Jaume de Dios Pont, Karlheinz Gröchenig, Lukas Liehr +2
We prove that the set of time-frequency shifts with a continuous, integrable totally positive function and lattice parameters $α…
Stability in unlimited sampling
José Luis Romero, Irina Shafkulovska
Folded sampling replaces clipping in analog-to-digital converters by reducing samples modulo a threshold, thereby avoiding saturation artifacts. We study the reconstruction of band…