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math.FA2025
Empirical plunge profiles of time-frequency localization operators
Simon Halvdansson
For time-frequency localization operators, related to the short-time Fourier transform, with symbol , we work out the exact large eigenvalue behavior for rotationally inva…
math.FA2024
Measure-operator convolutions and applications to mixed-state Gabor multipliers
Hans G. Feichtinger, Simon Halvdansson, Franz Luef
For the Weyl-Heisenberg group, convolutions between functions and operators were defined by Werner as a part of a framework called quantum harmonic analysis. We show how recent res…
math.FA2024
On a time-frequency blurring operator with applications in data augmentation
Simon Halvdansson
Inspired by the success of recent data augmentation methods for signals which act on time-frequency representations, we introduce an operator which convolves the short-time Fourier…