منابع مشابه
AMENABLE WEIGHTED HYPERGROUPS
In this paper among many other things we prove that the topological left amenability and left amenability of a weighted hypergroup (K, ?) are equivalent. For a normal subgroup H of K, we define a weight function ?? on KIH and obtain connection between left amenability of (K, ?) and (K|H, ??). Let H be a compact subhypergroup of K. We define the weight function on K||H and obtain connection...
متن کاملDiscrete commutative hypergroups
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 commuta...
متن کاملConstruction of Discrete, Non-unimodular Hypergroups
We explain how one can construct a class of discrete hypergroups which are non-unimodular. They arise as double coset hypergroups induced by the transitive action of a non-unimodular group of permutations on an innnite set. A concrete example is given in terms of the aane group of a homogeneous tree.
متن کاملamenable weighted hypergroups
in this paper among many other things we prove that the topological left amenability and left amenability of a weighted hypergroup (k, ?) are equivalent. for a normal subgroup h of k, we define a weight function ?? on kih and obtain connection between left amenability of (k, ?) and (k|h, ??). let h be a compact subhypergroup of k. we define the weight function on k||h and obtain connection betw...
متن کاملDiscrete Hypergroups Associated with Compact Quantum Gelfand Pairs
A discrete DJS-hypergroup is constructed in connection with the linearization formula for the product of two spherical elements for a quantum Gelfand pair of two compact quantum groups. A similar construction is discussed for the case of a generalized quantum Gelfand pair, where the role of the quantum subgroup is taken over by a two-sided coideal in the dual Hopf algebra. The paper starts with...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2016
ISSN: 0022-2518
DOI: 10.1512/iumj.2016.65.5749