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k-Hankel Gabor Transform and Its Applications to the Theory of Localization Operators
Journal article   Peer reviewed

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

H Mejjaoli and Saïd Ben
Analysis mathematica (Budapest), Vol.47(3), pp.629-663
01/09/2021
DOI: https://doi.org/10.1007/s10476-021-0091-9

Abstract

Eigenvalues Eigenvectors Gabor transformation Localization Operators Spectrograms
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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