no. 8
Mathematical Analysis
Reiter's condition (P2) and hypergroup representations
[La condition (P2) de Reiter et les représentations des hypergroupes]

Présenté par : Jean-Pierre Kahane

Pavel, Liliana1
1 Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
Comptes Rendus. Mathématique, Tome 341 (2005) no. 8, pp. 475-480.

Soit K un hypergroupe qui possède une mesure invariante à gauche. Nous établissons la connexion entre la condition (P2) de Reiter et les représentations associées aux mesures de type positif, représentations induites d'un sous-groupe de K et d'opérateurs de convolution sur L2(K).

Let K be a hypergroup with Haar measure. We relate Reiter's condition (P2) to positive definite measures and associated representations, induced representations from a subgroup of K and convolution operators on L2(K).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.09.009
Pavel, Liliana 1

1 Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania 
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Pavel, Liliana. Reiter's condition $ ({P}_{2})$ and hypergroup representations. Comptes Rendus. Mathématique, Tome 341 (2005) no. 8, pp. 475-480. doi : 10.1016/j.crma.2005.09.009. http://www.numdam.org/articles/10.1016/j.crma.2005.09.009/

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