We introduce and study the k-Hankel Gabor transform. We investigate the localization operators for this transform. In particular, we study their trace class properties and we prove that they belong… Click to show full abstract
We introduce and study the k-Hankel Gabor transform. We investigate the localization operators for this transform. In particular, we study their trace class properties and we prove that they belong to the Schatten-von Neumann class. We also study the eigenvalues and eigenfunctions of the time-frequency localization operator. Finally we give some results on the spectrograms for the k-Hankel Gabor transform.
               
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