We give a brief introduction of Quantum Harmonic Analysis and present a class of trace-class operators, called Feichtinger operators.
We investigate the τ-quantizations of such operators and show that they are a convenient substitute of the class of Schwartz operators. We shall show that many well-known concepts and results for functions in time-frequency have an operator-analogue in our setting, e.g. the class of Schwartz operators can be described as an intersection of weighted variants of the class of Feichtinger operators.
https://univienna.zoom.us/j/66031419470?pwd=bXd3V0xEMWM0MTQwS09nWStEV0NnUT09