83 citations · 515 across the 58 of their papers we have counts for
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Molecules in Coorbit Spaces and Boundedness of Operators
Karlheinz Gröchenig Mariusz Piotrowski
We study the notion of molecules in coorbit spaces. The main result states that if an operator, originally defined on an appropriate space of test functions, maps atoms to molecule…
Gabor (Super)Frames with Hermite Functions
Karlheinz Gröchenig, Yurii Lyubarskii
We investigate vector-valued Gabor frames (sometimes called Gabor superframes) based on Hermite functions . Let be the vector of the first Herm…
Landau's necessary density conditions for LCA groups
K. Gröchenig, G. Kutyniok, K. Seip
H. Landau's necessary density conditions for sampling and interpolation may be viewed as a general principle resting on a basic fact of Fourier analysis: The complex exponentials $…
Convolution-Dominated Operators on Discrete Groups
Gero Fendler, Karlheinz Gröchenig, Michael Leinert
We study infinite matrices indexed by a discrete group that are dominated by a convolution operator in the sense that for and some…