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math.FA2020
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…
math.FA2020
Deformations and Balian-Low theorems for Gabor frames on the adeles
Ulrik Enstad, Mads S. Jakobsen, Franz Luef +1
We generalize Feichtinger and Kaiblinger's theorem on linear deformations of uniform Gabor frames to the setting of a locally compact abelian group . More precisely, we show tha…