81 citations · 338 across the 34 of their papers we have counts for
4 papers · 1 filter
Sampling Theorems for Shift-invariant Spaces, Gabor Frames, and Totally Positive Functions
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with respect to the class of totally positive functions whose Fourier transform factors…
The Weyl-Heisenberg ensemble: hyperuniformity and higher Landau levels
Luís Daniel Abreu, João M. Pereira, José Luis Romero +1
Weyl-Heisenberg ensembles are a class of determinantal point processes associated with the Schrödinger representation of the Heisenberg group. Hyperuniformity characterizes a state…
Density of Sampling and Interpolation in Reproducing Kernel Hilbert Spaces
Hartmut Führ, Karlheinz Gröchenig, Antti Haimi +2
We derive necessary density conditions for sampling and for interpolation in general reproducing kernel Hilbert spaces satisfying some natural conditions on the geometry of the spa…
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates
Ben Adcock, Milana Gataric, José Luis Romero
We study the problem of recovering an unknown compactly-supported multivariate function from samples of its Fourier transform that are acquired nonuniformly, i.e. not necessarily o…