8 citations · 13 across the 6 of their papers we have counts for
11 papers
Time-Frequency Analysis and Coorbit Spaces of Operators
Monika Dörfler, Franz Luef, Henry McNulty +1
We introduce an operator valued Short-Time Fourier Transform for certain classes of operators with operator windows, and show that the transform acts in an analogous way to the Sho…
Local Structure and effective Dimensionality of Time Series Data Sets
Monika Doerfler, Franz Luef, Eirik Skrettingland
The goal of this paper is to develop novel tools for understanding the local structure of systems of functions, e.g. time-series data points, such as the total correlation function…
Affine Quantum Harmonic Analysis
Eirik Berge, Stine M. Berge, Franz Luef +1
We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in the literature such as affine localization operators, covariant integra…
Equivalent norms for modulation spaces from positive Cohen's class distributions
Eirik Skrettingland
We give a new class of equivalent norms for modulation spaces by replacing the window of the short-time Fourier transform by a Hilbert-Schmidt operator. The main result is applied…
A Wiener Tauberian theorem for operators and functions
Franz Luef, Eirik Skrettingland
We prove variants of Wiener's Tauberian theorem in the framework of quantum harmonic analysis, i.e. for convolutions between an absolutely integrable function and a trace class ope…
Quantum harmonic analysis on lattices and Gabor multipliers
Eirik Skrettingland
We develop a theory of quantum harmonic analysis on lattices in . Convolutions of a sequence with an operator and of two operators are defined over a lattice, and…
On Gabor g-frames and Fourier series of operators
Eirik Skrettingland
We show that Hilbert-Schmidt operators can be used to define frame-like structures for over lattices in that include multi-window Gabor frames…
On accumulated Cohen's class distributions and mixed-state localization operators
Franz Luef, Eirik Skrettingland
Recently we introduced mixed-state localization operators associated to a density operator and a (compact) domain in phase space. We continue the investigations of their eigenvalue…
Mixed-state localization operators: Cohen's class and trace class operators
Franz Luef, Eirik Skrettingland
We study mixed-state localization operators from the perspective of Werner's operator convolutions which allows us to extend known results from the rank-one case to trace class ope…
Convolutions for Berezin quantization and Berezin-Lieb inequalities
Franz Luef, Eirik Skrettingland
Notions and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, is identified as the appropriate setting for B…
Convolutions for localization operators
Franz Luef, Eirik Skrettingland
Quantum harmonic analysis on phase space is shown to be linked with localization operators. The convolution between operators and the convolution between a function and an operator…