Time-frequency analysis associated with k-Hankel-Wigner transforms
Commun. Korean Math. Soc. 2022 Vol. 37, No. 2, 521-535
https://doi.org/10.4134/CKMS.c210119
Published online March 29, 2022
Printed April 30, 2022
Mohamed Amine Boubatra
Universit\'{e} 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 function for this transform.
Keywords : k-Hankel transform, k-Hankel-Wigner transform, Plancherel's formula, Heisenberg's uncertainty principle, Calder\'on's reproducing formula, extremal function
Downloads: Full-text PDF   Full-text HTML

   

Copyright © Korean Mathematical Society.
(Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd