Harmonic analysis problems associated with the k-Hankel Gabor transform

Hatem Mejjaoli, Salem Ben Saïd

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We introduce a continuous k-Hankel Gabor transform acting on a Hilbert space deforming L2(R). We prove a Plancherel formula and L2-inversion formulas for it. We also prove several uncertainty principles for this transform such as Heisenberg type inequalities and Faris–Price type uncertainty principle.

Original languageEnglish
Pages (from-to)1549-1593
Number of pages45
JournalJournal of Pseudo-Differential Operators and Applications
Issue number4
Publication statusPublished - Dec 1 2020


  • Faris–Price’s uncertainty principle
  • Heisenberg’s type inequality
  • Inversion theorem
  • Local Cowling–Price’s type inequalities
  • Plancherel formula
  • k-Hankel Gabor transform
  • k-Hankel transform

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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