J. Austral. Math. Soc.  72 (2002), 209-216
Hypergroups associated to harmonic NA groups

Bianca Di Blasio
  Dipartimento di Matematica
  Universita degli studi di Roma `Tor Vergata'
  via della Ricerca scientifica 1
  00133 Roma

A harmonic NA group is a suitable solvable extension of a two-step nilpotent Lie group N of Heisenberg type by $\mathbb{R}^+$, which acts on N by anisotropic dilations. A hypergroup is a locally compact space for which the space of Borel measures has a convolution structure preserving the probability measures and satisfying suitable conditions. We describe a class of hypergroups associated to NA groups.
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