Time-frequency analysis associated with k-Hankel-Wigner transforms
Commun. Korean Math. Soc. Published online November 18, 2021
Mohamed Amine Boubatra
University of Tunis El Manar
Abstract : In this paper, we introduce the k-Hankel-Wigner transform on $\mathbb{R}$ in some problems of
time-frequency analysis. As a first point, we present some
harmonic analysis results such as Plancherel's, Parseval's and an inversion formulas for
this transform. next we prove a Heisenberg's uncertainty principle and a Calder\'on's reproducing formula for this transform. We conclude this paper by studying an extremal functions for this transform.
