## Illinois Journal of Mathematics

### Reiter's condition $P_{2}$ and the Plancherel measure for hypergroups

#### Abstract

In this paper we study the Reiter $P_{2}$ condition for commutative hypergroups and give necessary and sufficient conditions for $x \in \mathrm{supp}\, \pi$, where $\pi$ is the Plancherel measure. Finally we apply general results to characterize $\mathrm{supp} \, \pi$ in the case of polynomial hypergroups.

#### Article information

Source
Illinois J. Math., Volume 44, Issue 1 (2000), 20-32.

Dates
First available in Project Euclid: 19 October 2009

https://projecteuclid.org/euclid.ijm/1255984951

Digital Object Identifier
doi:10.1215/ijm/1255984951

Mathematical Reviews number (MathSciNet)
MR1731379

Zentralblatt MATH identifier
0949.43005

#### Citation

Filbir, Frank; Lasser, Rupert. Reiter's condition $P_{2}$ and the Plancherel measure for hypergroups. Illinois J. Math. 44 (2000), no. 1, 20--32. doi:10.1215/ijm/1255984951. https://projecteuclid.org/euclid.ijm/1255984951