A central limit theorem on Heisenberg type groups

Ohring, Peter

doi:10.1090/S0002-9939-1991-1045146-7

A central limit theorem on Heisenberg type groups
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Proc. Amer. Math. Soc. 113 (1991), 529-536 Request permission

Abstract:

Heisenberg type groups are a class of $2$-step nilpotent Lie groups which have many similarities with Heisenberg groups. In this paper we consider a commutative Banach algebra of radial, bounded, Borel measures on such groups and prove a central limit theorem for measures in this algebra satisfying suitable growth conditions.

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