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

H. Mejjaoli, S. Ben Saïd

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)629-663
Number of pages35
JournalAnalysis Mathematica
Volume47
Issue number3
DOIs
Publication statusPublished - Sep 2021

Keywords

  • k-Hankel Gabor transform
  • k-Hankel transform
  • localization operator
  • spectrogram

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

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