246 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Austrian Academy of SciencesAT76 papers
- University of ViennaAT26 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- UCLouvainBE4 papers
- Laboratoire des Sciences du Numérique de NantesFR3 papers
- Nantes UniversitéFR3 papers
- Princeton UniversityUS3 papers
- Technical University of DenmarkDK3 papers
- TU WienAT3 papers
- University of MaraghehIR3 papers
- University of Novi SadRS3 papers
- AIT Austrian Institute of Technology GmbHAT2 papers
4 papers · 2 filters
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…
A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators
Peter Balazs, Karlheinz Gröchenig
This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized fram…
Reproducing pairs and Gabor systems at critical density
Michael Speckbacher, Peter Balazs
We use the concept of reproducing pairs to study Gabor systems at critical density. First, we present a generalization of the Balian-Low theorem to the reproducing pairs setting. T…
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…