3 citations · 3 across the 1 of their papers we have counts for
5 papers
Kernel Theorems in Coorbit Theory
Peter Balazs, Karlheinz Gröchenig, Michael Speckbacher
We prove general kernel theorems for operators acting between coorbit spaces. These are Banach spaces associated to an integrable representation of a locally compact group and cont…
Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions
Karlheinz Gröchenig, Antti Haimi, Joaquim Ortega-Cerdà +1
Answering a question of Lindholm, we prove strict density inequalities for sampling and interpolation in Fock spaces of entire functions in several complex variables defined by a p…
Gabor Frames: Characterizations and Coarse Structure
Karlheinz Gröchenig, Sarah Koppensteiner
This survey offers a systematic and streamlined exposition of the most important characterizations of Gabor frames over a lattice. The goal is to collect the most important charact…
New atomic decompositons for Bergman spaces on the unit ball
Jens Christensen, Karlheinz Gröchenig, Gestur Ólafsson
We derive atomic decompositions and frames for weighted Bergman spaces of several complex variables on the unit ball in the spirit of Coifman, Rochberg, and Luecking. In contrast t…
Compactness Criteria in Function Spaces
Monika Dörfler, Hans G. Feichtinger, Karlheinz Gröchenig
The classical criterion for compactness in Banach spaces of functions can be reformulated into a simple tightness condition in the time-frequency domain. This description preserves…