[HTML][HTML] On accumulated spectrograms for Gabor frames

S Halvdansson - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
Analogs of classical results on accumulated spectrograms, the sum of spectrograms of
eigenfunctions of localization operators, are established for Gabor multipliers. We show that …

Five ways to recover the symbol of a non-binary localization operator

S Halvdansson - Journal of Pseudo-Differential Operators and …, 2025 - Springer
Five constructive methods for recovering the symbol of a time-frequency localization
operator with non-binary symbol are presented, two based on earlier work and three novel …

Extensions of Daubechies' theorem: Reinhardt domains, Hagedorn wavepackets and mixed-state localization operators

EAT Svela - arXiv preprint arXiv:2410.18769, 2024 - arxiv.org
Daubechies-type theorems for localization operators are established in the multi-variate
setting, where Hagedorn wavepackets are identified as the proper substitute of the Hermite …