Coorbit spaces related to locally compact hypergroups
type: Item
instance of: scholarly article
title: Coorbit spaces related to locally compact hypergroups
zbMATH Open document ID: 1399.43016
author: B. H. Sadathoseyni
author: Seyyed Mohammad Tabatabaie
published in: Acta Mathematica Hungarica
publication date: 2018-02-13T00:00:00Z
review text: The article studies the coorbit space \(S_{u,w}\) for a representation of a hypergroup \(K\) with admissible vector \(u\) and weight function \(w\) on \(K\). \(S_{u, w}\) carries a natural norm structure, under a condition on the weight \(w\), it is shown that \(S_{u, w}\) is complete - this condition is also shown to be necessary in certain situations. Examples of compact commutative hypergroups and the discrete hypergroup \(Z^+\) are discussed. There are also results on the independence of \(S_{u, w}\).
Mathematics Subject Classification ID: 43A62
Mathematics Subject Classification ID: 20N20
zbMATH DE Number: 6837923
zbMATH Keywords: hypergroup
zbMATH Keywords: representation
zbMATH Keywords: coorbit spaces
reviewed by: C. R. E. Raja
MaRDI profile type: Publication
full work available at URL: s10474-017-0736-0
OpenAlex ID: W2653195432
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DOI: 10.1007/S10474-017-0736-0
description: scientific article; zbMATH DE number 6837923