Discrete commutative hypergroups

نویسنده

  • Rupert Lasser
چکیده

The concept of a locally compact hypergroup was introduced by Dunkl [6], Jewett [14] and Spector [26]. Hypergroups generalize convolution algebras of measures associated to groups as well as linearization formulae of classical families of special functions, e.g. orthogonal polynomials. Many results of harmonic analysis on locally compact abelian groups can be carried over to the case of commutative hypergroups, see [3]. The special case of a discrete hypergroup has appeared in many other places. See for example [2], where association schemes of combinatorics are investigated. An interesting generalization is studied by Obata and Wildberger in [21].

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تاریخ انتشار 2002