A harmonic NA group is a suitable solvable extension of a two-step nilpotent Lie group N of Heisenberg type by 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
Di Blasio, B. (2002). Hypergroups associated to harmonic NA groups. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 72(2), 209-216 [10.1017/s1446788700003852].
Hypergroups associated to harmonic NA groups
Di Blasio, B
2002
Abstract
A harmonic NA group is a suitable solvable extension of a two-step nilpotent Lie group N of Heisenberg type by 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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