32 citations · 193 across the 48 of their papers we have counts for
6 papers · 1 filter
Fourier restriction for Schatten class operators and functions on phase space
Franz Luef, Helge Jørgen Samuelsen
We formulate a variant of Fourier restriction for operators in Schatten classes, where the Fourier-Wigner transform of a bounded operator replaces the Fourier transform of a functi…
Linear Deformations of Heisenberg Modules and Gabor Frames
Malte Gerhold, Arvin Lamando, Franz Luef
Heisenberg modules over noncommutative tori may also be viewed as Gabor frames. Building on this fact, we relate to deformations of noncommutative tori a bundle of Banach spaces in…
On the structure of multivariate Gabor systems and a result on Gaussian Gabor frames
Michael Gjertsen, Franz Luef
We introduce an equivalence relation on the set of lattices in such that equivalent lattices support identical structures of Gabor systems, up to unitary equivale…
Wiener's Tauberian theorem in classical and quantum harmonic analysis
Robert Fulsche, Franz Luef, Reinhard F. Werner
We investigate Wiener's Tauberian theorem from the perspective of limit functions, which results in several new versions of the Tauberian theorem. Based on this, we formulate and p…
On the transcendentality condition for Gaussian Gabor frames and Hermite super/multiwindow frames
Franz Luef, Johannes Testorf, Xu Wang
We give a criterion for higher-dimensional Gaussian Gabor frames, which is a reformulation of one of the main results in in a previous article by the first and last authors in more…
Quantum Time-Frequency Analysis and Pseudodifferential Operators
Franz Luef, Henry McNulty
We introduce Quantum Time-Frequency Analysis, which expands the approach of Quantum Harmonic Analysis to include modulations of operators in addition to translations. This is done…