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Limits of commutative triangular systems on simply connected step 2-nilpotent Lie groups
Authors:Daniel Neuenschwander
Affiliation:(1) Institut für Mathematische Statistik und Versicherungslehre, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
Abstract:We prove that on simply connected step 2-nilpotent Lie groupsG any limit of a commutative infinitesimals triangular system of probability measures which are either all symmetric or supported by some discrete subgroupH is infinitely divisible onG resp.H.
Keywords:Triangular systems  infinitely divisible probability measures  nilpotent Lie groups  Heisenberg groups
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