4 papers
Approximation properties of operator coorbit spaces and sparsity classes
Monika Dörfler, Lukas Köhldorfer, Franz Luef +1
Extensions of coorbit spaces for functions to operators have been introduced by two different groups in \cite{doelumcskr24} and \cite{köbaLOC25}, where one is based on the coorbit…
Localized frames without inequalities
Peter Balazs, Lukas Köhldorfer, Michael Speckbacher
We consider countable families of vectors in a separable Hilbert space, which are mutually localized with respect to a fixed localized Riesz basis. We prove the equivalence of the…
Localization of operator-valued frames
Lukas Köhldorfer, Peter Balazs
We introduce a localization concept for operator-valued frames, where the quality of localization is measured by the associated operator-valued Gram matrix belonging to some suitab…
Details on the distribution co-orbit space
Nikolas Hauschka, Peter Balazs, Lukas Köhldorfer
Associated with every separable Hilbert space and a given localized frame, there exists a natural test function Banach space and a Banach distribution…