Reiter's condition $P_{2}$ and the Plancherel measure for hypergroups
Filbir, Frank ; Lasser, Rupert
Illinois J. Math., Tome 44 (2000) no. 4, p. 20-32 / Harvested from Project Euclid
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.
Publié le : 2000-03-15
Classification:  43A62,  42C05,  43A07
@article{1255984951,
     author = {Filbir, Frank and Lasser, Rupert},
     title = {Reiter's condition $P\_{2}$ and the Plancherel measure for hypergroups},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 20-32},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984951}
}
Filbir, Frank; Lasser, Rupert. Reiter's condition $P_{2}$ and the Plancherel measure for hypergroups. Illinois J. Math., Tome 44 (2000) no. 4, pp.  20-32. http://gdmltest.u-ga.fr/item/1255984951/