Article
Kyungpook Mathematical Journal 2022; 62(4): 689-697
Published online December 31, 2022 https://doi.org/10.5666/KMJ.2022.62.4.689
Copyright © Kyungpook Mathematical Journal.
Dual Integrable Representations of Hypergroups
Seyyed Mohammad Tabatabaie∗, Soheila Jokar
Department of Mathematics, University of Qom, Qom, Iran
e-mail : sm.tabatabaie@qom.ac.ir
Department of Basic Sciences, Qeshm Branch, Islamic Azad University, Qeshm, Iran
e-mail : soheilajokar2007@yahoo.com
Received: April 18, 2021; Revised: January 18, 2022; Accepted: January 24, 2022
In this paper, we study dual integrable representations of locally compact commutative hypergroups and give a sufficient and necessary condition for a dual integrable representation to have an admissible vector.
Keywords: locally compact hypergroup, locally compact group, dual integrable representation, left regular representation, frame