Open Access
September 2017 A characterization of admissible vectors related to representations on hypergroups
Seyyed Mohammad Tabatabaie, Soheila Jokar
Tbilisi Math. J. 10(4): 143-151 (September 2017). DOI: 10.1515/tmj-2017-0052

Abstract

In this paper among the other things, we give some sufficient and necessary conditions for an element of $L^{2}(K)$ to be a Parseval admissible vector, where $K$ is a locally compact hypergroup.

Citation

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Seyyed Mohammad Tabatabaie. Soheila Jokar. "A characterization of admissible vectors related to representations on hypergroups." Tbilisi Math. J. 10 (4) 143 - 151, September 2017. https://doi.org/10.1515/tmj-2017-0052

Information

Received: 6 September 2016; Accepted: 20 October 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 1378.43005
MathSciNet: MR3731397
Digital Object Identifier: 10.1515/tmj-2017-0052

Subjects:
Primary: 43A62
Secondary: 42C15

Keywords: frame , Left regular representation , locally compact hypergroup , Parseval admissible vector

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 4 • September 2017
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