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math.FA2020
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…
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…