AN UNCERTAINTY PRINCIPLE FOR COMMUTATIVE HYPERGROUPS AND GELFAND PAIRS

We extend sharp forms of the classical uncertainty principle to the co ntext of commutative hypergroups. This hypergroup setting includes Gel fand pairs. Riemannian symmetric spaces, and locally compact abelain g roups. For some Gelfand pairs our inequalities will be sharper than th ose in a recent paper by J. A. WOLF.