Commutative hypergroups associated with a hyperfield-Reference-Cited by-同舟云学术

Commutative hypergroups associated with a hyperfield

Published:2017-09 Issue:03 Volume:20 Page:1750018
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Heyer Herbert¹,Kawakami Satoshi²,Tsurii Tatsuya³,Yamanaka Satoe⁴

Affiliation:

1. Universität Tübingen, Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, Germany

2. Nara University of Education, Department of Mathematics, Takabatake-cho, Nara 630-8528, Japan

3. Nara University of Education, Center for New Education of Science and Mathematics, Takabatake-cho, Nara 630-8528, Japan

4. Nara Women’s University, Faculty of Science, Kita-uoya-higashi-machi, Nara 630-8506, Japan

Abstract

Let [Formula: see text] be a commutative hypergroup and [Formula: see text] a discrete commutative hypergroup. In this paper we introduce a commutative hypergroup [Formula: see text] associated with a hyperfield [Formula: see text] of [Formula: see text] based on [Formula: see text]. Moreover, for the hyperfield [Formula: see text] of a compact commutative hypergroup [Formula: see text] of strong type based on a discrete commutative hypergroup [Formula: see text] of strong type, we introduce the dual hyperfield [Formula: see text] of [Formula: see text] based on [Formula: see text] and show that [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025717500187

Reference8 articles.

1. Harmonic Analysis of Probability Measures on Hypergroups

2. Characters of induced representations of a compact hypergroup