32 citations · 193 across the 48 of their papers we have counts for
13 papers · 1 filter
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…
The Affine Wigner Distribution
Eirik Berge, Stine Marie Berge, Franz Luef
We examine the affine Wigner distribution from a quantization perspective with an emphasis on the underlying group structure. One of our main results expresses the scalogram as (af…
Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators
Johannes Keller, Franz Luef
We discuss an extension of Toeplitz quantization based on polyanalytic functions. We derive isomorphism theorem for polyanalytic Toeplitz operators between weighted Sobolev-Fock sp…
Solitons of general topological charge over noncommutative tori
Ludwik Dabrowski, Mads S. Jakobsen, Giovanni Landi +1
We continue the study of solitons over noncommutative tori from the perspective of time-frequency analysis and treat the case of a general topological charge. Solutions are associa…
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…
Sigma-model solitons on noncommutative spaces
Ludwik Dabrowski, Giovanni Landi, Franz Luef
We use results from time-frequency analysis and Gabor analysis to construct new classes of sigma-model solitons over the Moyal plane and over noncommutative tori, taken as source s…