Reiter's condition P-2 and the Plancherel measure for hypergroups

Authors
Filbir, F Lasser, R
Citation
F. Filbir et R. Lasser, Reiter's condition P-2 and the Plancherel measure for hypergroups, ILL J MATH, 44(1), 2000, pp. 20-32
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ILLINOIS JOURNAL OF MATHEMATICS
ISSN journal
00192082 → ACNP
Volume
44
Issue
1
Year of publication
2000
Pages
20 - 32
Database
ISI
SICI code
0019-2082(200021)44:1<20:RCPATP>2.0.ZU;2-Y
Abstract
In this paper we study the Reiter P-2 condition for commutative hypergroups and give necessary and sufficient conditions for x is an element of supp p i, where pi is the Plancherel measure. Finally we apply general results to characterize supp pi in the case of polynomial hypergroups.