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Kyungpook Mathematical Journal 2022; 62(4): 689-697

Published online December 31, 2022

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

Abstract

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