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k-Hankel Gabor Transform and Its Applications to the Theory of Localization Operators

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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.

Keywords: localization operators; hankel gabor; gabor transform

Journal Title: Analysis Mathematica
Year Published: 2021

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