83 citations · 515 across the 58 of their papers we have counts for
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math.FA2014★ 1 cited
Time-Frequency Localization Operators and a Berezin Transform
Dominik Bayer, Karlheinz Gröchenig
Time-frequency localization operators are a quantization procedure that maps symbols on to operators and depends on two window functions. We study the range of this quanti…
math.CA2014
On accumulated spectrograms
Luís Daniel Abreu, Karlheinz Gröchenig, José Luis Romero
We study the eigenvalues and eigenfunctions of the time-frequency localization operator on a domain of the time-frequency plane. The eigenfunctions are the appropriate pr…
math.FA2014
Linear Independence of Time-Frequency Shifts?
Karlheinz Gröchenig
We investigate finite sections of Gabor frames and study the asymptotic behavior of their lower Riesz bound. From a numerical point of view, these sets of time-frequency shifts are…