Reiter's condition P2 and the Plancherel measure for hypergroups

Frank Filbir; Rupert Lasser

doi:10.1215/ijm/1255984951

Reiter's condition P₂ and the Plancherel measure for hypergroups

Frank Filbir, Rupert Lasser

Helmholtz Zentrum München German Research Center for Environmental Health

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

11 Zitate (Scopus)

Abstract

In this paper we study the Reiter P₂ condition for commutative hypergroups and give necessary and sufficient conditions for x ∈ supp π, where π is the Plancherel measure. Finally we apply general results to characterize supp π in the case of polynomial hypergroups.

Originalsprache	Englisch
Seiten (von - bis)	20-32
Seitenumfang	13
Fachzeitschrift	Illinois Journal of Mathematics
Jahrgang	44
Ausgabenummer	1
DOIs	https://doi.org/10.1215/ijm/1255984951
Publikationsstatus	Veröffentlicht - 2000
Extern publiziert	Ja

Zugriff auf Dokument

10.1215/ijm/1255984951

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

Dieses zitieren

@article{1ca81cdb888640d6b2aafa7a87ff643c,

title = "Reiter's condition P2 and the Plancherel measure for hypergroups",

abstract = "In this paper we study the Reiter P2 condition for commutative hypergroups and give necessary and sufficient conditions for x ∈ supp π, where π is the Plancherel measure. Finally we apply general results to characterize supp π in the case of polynomial hypergroups.",

author = "Frank Filbir and Rupert Lasser",

year = "2000",

doi = "10.1215/ijm/1255984951",

language = "English",

volume = "44",

pages = "20--32",

journal = "Illinois Journal of Mathematics",

issn = "0019-2082",

publisher = "Duke University Press",

number = "1",

}

TY - JOUR

T1 - Reiter's condition P2 and the Plancherel measure for hypergroups

AU - Filbir, Frank

AU - Lasser, Rupert

PY - 2000

Y1 - 2000

N2 - In this paper we study the Reiter P2 condition for commutative hypergroups and give necessary and sufficient conditions for x ∈ supp π, where π is the Plancherel measure. Finally we apply general results to characterize supp π in the case of polynomial hypergroups.

AB - In this paper we study the Reiter P2 condition for commutative hypergroups and give necessary and sufficient conditions for x ∈ supp π, where π is the Plancherel measure. Finally we apply general results to characterize supp π in the case of polynomial hypergroups.

UR - http://www.scopus.com/inward/record.url?scp=0040788312&partnerID=8YFLogxK

U2 - 10.1215/ijm/1255984951

DO - 10.1215/ijm/1255984951

M3 - Article

AN - SCOPUS:0040788312

SN - 0019-2082

VL - 44

SP - 20

EP - 32

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

IS - 1