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Hypergroups associated to harmonic NA groups

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Bianca Di Blasio
Bianca Di Blasio
Affiliation:
Dipartimento di Matematica, Università degli studi di Roma ‘Tor Vergata’, via della Ricerca scientifica 1, 00133 Roma, Italy e-mail: [email protected]
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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 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.

Keywords

hypergroupsharmonic spaces.

MSC classification

Secondary: 43A62: Hypergroups 43A80: Analysis on other specific Lie groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 72 , Issue 2 , April 2002 , pp. 209 - 216
Copyright
Copyright © Australian Mathematical Society 2002

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