32 citations · 193 across the 48 of their papers we have counts for
60 papers
Banach Gelfand Triples with Kernel Theorems via Equivalence Bimodules
Dimitri Bytchenkoff, Arvin Lamando, Franz Luef
Hilbert C*-modules whose coefficient C*-algebra is equipped with a finite faithful trace generate Banach Gelfand triples. This provides a natural setting for a function space inter…
A Time-Frequency Framework for GKP Codes
Franz Luef, Eduard Ortega
We develop a time--frequency framework for lattice GKP codes in which ideal codewords are realized in the modulation space and identified, through a vector-valued Zak tr…
Harmoniq: Efficient Data Augmentation on a Quantum Computer Inspired by Harmonic Analysis
Kristina Kirova, Monika Doerfler, Franz Luef +1
Quantum machine learning has attracted significant interest in recent years. Most existing approaches, however, are variational in nature and require extensive parameter optimizati…
Bessel duality of Gabor systems: A von Neumann algebraic perspective
Ulrik Enstad, Franz Luef
Bessel duality of regular Gabor systems states that a Gabor system over a lattice is a Bessel sequence if and only if the corresponding Gabor system over the adjoint lattice is a B…
Quantum Harmonic Analysis and the Structure in Data: Augmentation
Monika Doerfler, Franz Luef, Henry McNulty
In this short note, we study the impact of data augmentation on the smoothness of principal components of high-dimensional datasets. Using tools from quantum harmonic analysis, we…
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…