74 citations · 275 across the 23 of their papers we have counts for
4 papers · 1 filter
Sampling of operators
Götz E. Pfander
Sampling and reconstruction of functions is a central tool in science. A key result is given by the sampling theorem for bandlimited functions attributed to Whittaker, Shannon, Nyq…
A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows
Götz E. Pfander, Peter Rashkov, Yang Wang
The geometry of fundamental domains of lattices was used by Han and Wang to construct multivariate Gabor frames for separable lattices. We build upon their results to obtain Gabor…
Restricted Isometries for Partial Random Circulant Matrices
Holger Rauhut, Justin Romberg, Joel A. Tropp
In the theory of compressed sensing, restricted isometry analysis has become a standard tool for studying how efficiently a measurement matrix acquires information about sparse and…
Remarks on multivariate Gaussian Gabor frames
G"otz E. Pfander, Peter Rashkov
We report on initial findings on Gabor systems with multivariate Gaussian window. Unlike the existing characterisation for dimension one in terms of lattice density, our results in…