J. Austral. Math. Soc.
72 (2002), 209-216
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Hypergroups associated to harmonic NA
groups
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Bianca Di Blasio
Dipartimento di Matematica
Universita degli studi di Roma `Tor Vergata'
via della Ricerca scientifica 1
00133 Roma
Italy
diblasio@axp.mat.uniroma2.it
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Abstract
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A harmonic NA
group is a suitable solvable extension of a
two-step nilpotent Lie group N
of Heisenberg type by
 , 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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