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On symmetry of discrete polynomial hypergroups |
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| Authors: | Marc-Olivier Gebuhrer Ryszard Szwarc |
| Institution: | Institut de Recherche Mathématique Avancée Université Louis Pasteur et C.N.R.S. 7, rue René Descartes 67084 Strasbourg Cedex France Ryszard Szwarc ; Institute of Mathematics Wroclaw University pl. Grunwaldzki 2/4 50--384 Wroc- law, Poland |
| Abstract: | Let  be a discrete polynomial hypergoup on  with Plancherel measure  If the hypergroup  is symmetric, the set of characters  can be identified with a compact subset of the real line which contains the support of  We show that the lower and upper bounds of  and  coincide. In particular, the trivial character belongs to the support of the Plancherel measure. |
| Keywords: | Hypergroup symmetry orthogonal polynomials |
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